TSTP Solution File: SYO500_8.008 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SYO500_8.008 : TPTP v8.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 08:52:16 EDT 2024

% Result   : Theorem 7.10s 1.63s
% Output   : CNFRefutation 7.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :   70
% Syntax   : Number of formulae    :  848 (  10 unt;  39 typ;   0 def)
%            Number of atoms       : 662091 (   0 equ)
%            Maximal formula atoms : 196607 ( 818 avg)
%            Number of connectives : 992377 (331095   ~;441887   |;219337   &)
%                                         (  58 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   35 (   6 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   41 (  39 usr;  33 prp; 0-1 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    x: $o ).

tff(decl_23,type,
    f0: $o > $o ).

tff(decl_24,type,
    f1: $o > $o ).

tff(decl_25,type,
    f2: $o > $o ).

tff(decl_26,type,
    f3: $o > $o ).

tff(decl_27,type,
    f4: $o > $o ).

tff(decl_28,type,
    f5: $o > $o ).

tff(decl_29,type,
    f6: $o > $o ).

tff(decl_30,type,
    f7: $o > $o ).

tff(decl_31,type,
    epred1_0: $o ).

tff(decl_32,type,
    epred2_0: $o ).

tff(decl_33,type,
    epred3_0: $o ).

tff(decl_34,type,
    epred4_0: $o ).

tff(decl_35,type,
    epred5_0: $o ).

tff(decl_36,type,
    epred6_0: $o ).

tff(decl_37,type,
    epred7_0: $o ).

tff(decl_38,type,
    epred8_0: $o ).

tff(decl_39,type,
    epred9_0: $o ).

tff(decl_40,type,
    epred10_0: $o ).

tff(decl_41,type,
    epred11_0: $o ).

tff(decl_42,type,
    epred12_0: $o ).

tff(decl_43,type,
    epred13_0: $o ).

tff(decl_44,type,
    epred14_0: $o ).

tff(decl_45,type,
    epred15_0: $o ).

tff(decl_46,type,
    epred16_0: $o ).

tff(decl_47,type,
    epred17_0: $o ).

tff(decl_48,type,
    epred18_0: $o ).

tff(decl_49,type,
    epred19_0: $o ).

tff(decl_50,type,
    epred20_0: $o ).

tff(decl_51,type,
    epred21_0: $o ).

tff(decl_52,type,
    epred22_0: $o ).

tff(decl_53,type,
    epred23_0: $o ).

tff(decl_54,type,
    epred24_0: $o ).

tff(decl_55,type,
    epred25_0: $o ).

tff(decl_56,type,
    epred26_0: $o ).

tff(decl_57,type,
    epred27_0: $o ).

tff(decl_58,type,
    epred28_0: $o ).

tff(decl_59,type,
    epred29_0: $o ).

tff(decl_60,type,
    epred30_0: $o ).

fof(kaminski8,conjecture,
    ( f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(f5(f6(f6(f6(f7(x))))))))))))))))
  <=> f0(f1(f1(f1(f2(f3(f3(f3(f4(f5(f5(f5(f6(f7(f7(f7(x)))))))))))))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kaminski8) ).

fof(c_0_1,plain,
    ( epred15_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | ~ f1($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | f2($false) ) )
                        | f2($false) ) )
                    | ~ f1($false) ) )
                | ~ f0($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | f1($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | f2($false) ) )
                        | f2($false) ) )
                    | f1($false) ) )
                | ~ f0($false) ) )
            | ~ f0($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | ~ f1($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | f2($false) ) )
                        | f2($false) ) )
                    | ~ f1($false) ) )
                | f0($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | f1($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | f2($false) ) )
                        | f2($false) ) )
                    | f1($false) ) )
                | f0($false) ) )
            | ~ f0($false) ) )
        | f0($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | ~ f1($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | f2($false) ) )
                        | f2($false) ) )
                    | ~ f1($false) ) )
                | ~ f0($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | f1($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | f2($false) ) )
                        | f2($false) ) )
                    | f1($false) ) )
                | ~ f0($false) ) )
            | f0($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | ~ f1($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | f2($false) ) )
                        | f2($false) ) )
                    | ~ f1($false) ) )
                | f0($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | f1($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f2($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f2($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f4($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f4($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | ~ f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f6($false) ) )
                                                            | f6($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f6($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f6($false) ) )
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f4($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f2($false) ) )
                            | f2($false) ) )
                        | f2($false) ) )
                    | f1($false) ) )
                | f0($false) ) )
            | f0($false) ) )
        | f0($false) ) ) ),
    introduced(definition) ).

fof(c_0_2,plain,
    ( epred13_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f2($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f2($false) ) )
                    | ~ f2($false) ) )
                | ~ f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f2($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f2($false) ) )
                    | f2($false) ) )
                | ~ f2($false) ) )
            | ~ f1($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f2($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f2($false) ) )
                    | ~ f2($false) ) )
                | f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f2($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f2($false) ) )
                    | f2($false) ) )
                | f2($false) ) )
            | ~ f1($false) ) )
        | ~ f0($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f2($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f2($false) ) )
                    | ~ f2($false) ) )
                | ~ f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f2($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f2($false) ) )
                    | f2($false) ) )
                | ~ f2($false) ) )
            | f1($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f2($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f2($false) ) )
                    | ~ f2($false) ) )
                | f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f2($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f2($false) ) )
                    | f2($false) ) )
                | f2($false) ) )
            | f1($false) ) )
        | ~ f0($false) ) ) ),
    introduced(definition) ).

fof(c_0_3,plain,
    ( epred14_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f2($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f2($false) ) )
                    | ~ f2($false) ) )
                | ~ f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f2($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f2($false) ) )
                    | f2($false) ) )
                | ~ f2($false) ) )
            | ~ f1($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f2($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f2($false) ) )
                    | ~ f2($false) ) )
                | f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f2($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f2($false) ) )
                    | f2($false) ) )
                | f2($false) ) )
            | ~ f1($false) ) )
        | f0($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f2($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f2($false) ) )
                    | ~ f2($false) ) )
                | ~ f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f2($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f2($false) ) )
                    | f2($false) ) )
                | ~ f2($false) ) )
            | f1($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f2($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f2($false) ) )
                    | ~ f2($false) ) )
                | f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f2($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f2($false) ) )
                    | f2($false) ) )
                | f2($false) ) )
            | f1($false) ) )
        | f0($false) ) ) ),
    introduced(definition) ).

fof(c_0_4,plain,
    ( epred15_0
  <=> ( ( ( ( epred13_0
            | ~ f0($true) )
          & ( epred14_0
            | ~ f0($false) ) )
        | f0($true) )
      & ( ( ( epred13_0
            | f0($true) )
          & ( epred14_0
            | f0($false) ) )
        | f0($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_1,c_0_2]),c_0_3]),c_0_2]),c_0_3]) ).

fof(c_0_5,plain,
    ( epred11_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | ~ f3($false) ) )
                | ~ f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | f3($false) ) )
                | ~ f2($false) ) )
            | ~ f2($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | ~ f3($false) ) )
                | f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | f3($false) ) )
                | f2($false) ) )
            | ~ f2($false) ) )
        | ~ f2($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | ~ f3($false) ) )
                | ~ f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | f3($false) ) )
                | ~ f2($false) ) )
            | f2($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | ~ f3($false) ) )
                | f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | f3($false) ) )
                | f2($false) ) )
            | f2($false) ) )
        | ~ f2($false) ) ) ),
    introduced(definition) ).

fof(c_0_6,plain,
    ( epred12_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | ~ f3($false) ) )
                | ~ f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | f3($false) ) )
                | ~ f2($false) ) )
            | ~ f2($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | ~ f3($false) ) )
                | f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | f3($false) ) )
                | f2($false) ) )
            | ~ f2($false) ) )
        | f2($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | ~ f3($false) ) )
                | ~ f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | f3($false) ) )
                | ~ f2($false) ) )
            | f2($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | ~ f3($false) ) )
                | f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | f3($false) ) )
                | f2($false) ) )
            | f2($false) ) )
        | f2($false) ) ) ),
    introduced(definition) ).

fof(c_0_7,plain,
    ( ( epred13_0
      | ~ f0($true)
      | f0($true)
      | ~ epred15_0 )
    & ( epred14_0
      | ~ f0($false)
      | f0($true)
      | ~ epred15_0 )
    & ( epred13_0
      | f0($true)
      | f0($false)
      | ~ epred15_0 )
    & ( epred14_0
      | f0($false)
      | f0($false)
      | ~ epred15_0 )
    & ( ~ epred14_0
      | ~ epred13_0
      | ~ epred14_0
      | ~ epred13_0
      | epred15_0 )
    & ( ~ f0($false)
      | ~ epred13_0
      | ~ epred14_0
      | ~ epred13_0
      | epred15_0 )
    & ( ~ epred14_0
      | ~ f0($true)
      | ~ epred14_0
      | ~ epred13_0
      | epred15_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | ~ epred14_0
      | ~ epred13_0
      | epred15_0 )
    & ( ~ f0($false)
      | ~ epred14_0
      | ~ epred13_0
      | epred15_0 )
    & ( ~ epred14_0
      | ~ epred13_0
      | f0($false)
      | ~ epred13_0
      | epred15_0 )
    & ( ~ f0($false)
      | ~ epred13_0
      | f0($false)
      | ~ epred13_0
      | epred15_0 )
    & ( ~ epred14_0
      | ~ f0($true)
      | f0($false)
      | ~ epred13_0
      | epred15_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | f0($false)
      | ~ epred13_0
      | epred15_0 )
    & ( ~ f0($false)
      | f0($false)
      | ~ epred13_0
      | epred15_0 )
    & ( ~ epred14_0
      | ~ epred13_0
      | ~ epred14_0
      | f0($true)
      | epred15_0 )
    & ( ~ f0($false)
      | ~ epred13_0
      | ~ epred14_0
      | f0($true)
      | epred15_0 )
    & ( ~ epred14_0
      | ~ f0($true)
      | ~ epred14_0
      | f0($true)
      | epred15_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | ~ epred14_0
      | f0($true)
      | epred15_0 )
    & ( ~ f0($false)
      | ~ epred14_0
      | f0($true)
      | epred15_0 )
    & ( ~ epred14_0
      | ~ epred13_0
      | f0($false)
      | f0($true)
      | epred15_0 )
    & ( ~ f0($false)
      | ~ epred13_0
      | f0($false)
      | f0($true)
      | epred15_0 )
    & ( ~ epred14_0
      | ~ f0($true)
      | f0($false)
      | f0($true)
      | epred15_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | f0($false)
      | f0($true)
      | epred15_0 )
    & ( ~ f0($false)
      | f0($false)
      | f0($true)
      | epred15_0 )
    & ( ~ epred14_0
      | ~ epred13_0
      | ~ f0($true)
      | epred15_0 )
    & ( ~ f0($false)
      | ~ epred13_0
      | ~ f0($true)
      | epred15_0 )
    & ( ~ epred14_0
      | ~ f0($true)
      | ~ f0($true)
      | epred15_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | ~ f0($true)
      | epred15_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | epred15_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

fof(c_0_8,plain,
    ( epred17_0
  <=> ( ( ( ( ~ x
            | ~ f7($true) )
          & ( x
            | ~ f7($false) ) )
        | f7($true) )
      & ( ( ( ~ x
            | f7($true) )
          & ( x
            | f7($false) ) )
        | f7($false) ) ) ),
    introduced(definition) ).

fof(c_0_9,plain,
    ( epred14_0
  <=> ( ( ( ( epred11_0
            | ~ f1($true) )
          & ( epred12_0
            | ~ f1($false) ) )
        | f0($true) )
      & ( ( ( epred11_0
            | f1($true) )
          & ( epred12_0
            | f1($false) ) )
        | f0($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_3,c_0_5]),c_0_6]),c_0_5]),c_0_6]) ).

cnf(c_0_10,plain,
    ( epred14_0
    | f0($false)
    | f0($false)
    | ~ epred15_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_11,plain,
    ( epred30_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f2($false) ) )
                    | ~ f1($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f2($false) ) )
                    | ~ f1($false) ) )
                | ~ f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f2($false) ) )
                    | f1($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f2($false) ) )
                    | f1($false) ) )
                | ~ f1($false) ) )
            | ~ f1($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f2($false) ) )
                    | ~ f1($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f2($false) ) )
                    | ~ f1($false) ) )
                | f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f2($false) ) )
                    | f1($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f2($false) ) )
                    | f1($false) ) )
                | f1($false) ) )
            | ~ f1($false) ) )
        | f0($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f2($false) ) )
                    | ~ f1($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f2($false) ) )
                    | ~ f1($false) ) )
                | ~ f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f2($false) ) )
                    | f1($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f2($false) ) )
                    | f1($false) ) )
                | ~ f1($false) ) )
            | f1($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f2($false) ) )
                    | ~ f1($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f2($false) ) )
                    | ~ f1($false) ) )
                | f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f2($false) ) )
                    | f1($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | ~ f3($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f4($false) ) )
                                    | f3($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f5($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f5($true) )
                                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | ~ f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | ~ f7($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | ~ f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | ~ f7($false) ) )
                                                            | f7($true) )
                                                          & ( ( ( ( ( ~ x
                                                                    | ~ f7($true) )
                                                                  & ( x
                                                                    | ~ f7($false) ) )
                                                                | f7($true) )
                                                              & ( ( ( ~ x
                                                                    | f7($true) )
                                                                  & ( x
                                                                    | f7($false) ) )
                                                                | f7($false) ) )
                                                            | f7($false) ) )
                                                        | f6($false) ) )
                                                    | f5($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f4($false) ) )
                                    | f3($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f2($false) ) )
                    | f1($false) ) )
                | f1($false) ) )
            | f1($false) ) )
        | f0($false) ) ) ),
    introduced(definition) ).

fof(c_0_12,plain,
    ( epred28_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | ~ f3($false) ) )
                | ~ f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | f3($false) ) )
                | ~ f2($false) ) )
            | ~ f1($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | ~ f3($false) ) )
                | f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | f3($false) ) )
                | f2($false) ) )
            | ~ f1($false) ) )
        | ~ f1($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | ~ f3($false) ) )
                | ~ f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | f3($false) ) )
                | ~ f2($false) ) )
            | f1($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | ~ f3($false) ) )
                | f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | f3($false) ) )
                | f2($false) ) )
            | f1($false) ) )
        | ~ f1($false) ) ) ),
    introduced(definition) ).

fof(c_0_13,plain,
    ( epred26_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | ~ f3($false) ) )
                | ~ f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | f3($false) ) )
                | ~ f3($false) ) )
            | ~ f3($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | ~ f3($false) ) )
                | f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | f3($false) ) )
                | f3($false) ) )
            | ~ f3($false) ) )
        | ~ f2($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | ~ f3($false) ) )
                | ~ f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | f3($false) ) )
                | ~ f3($false) ) )
            | f3($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | ~ f3($false) ) )
                | f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | f3($false) ) )
                | f3($false) ) )
            | f3($false) ) )
        | ~ f2($false) ) ) ),
    introduced(definition) ).

fof(c_0_14,plain,
    ( epred27_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | ~ f3($false) ) )
                | ~ f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | f3($false) ) )
                | ~ f3($false) ) )
            | ~ f3($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | ~ f3($false) ) )
                | f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | f3($false) ) )
                | f3($false) ) )
            | ~ f3($false) ) )
        | f2($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | ~ f3($false) ) )
                | ~ f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | f3($false) ) )
                | ~ f3($false) ) )
            | f3($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | ~ f3($false) ) )
                | f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | ~ f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | ~ f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | ~ f7($false) ) )
                                            | f7($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f7($true) )
                                                  & ( x
                                                    | ~ f7($false) ) )
                                                | f7($true) )
                                              & ( ( ( ~ x
                                                    | f7($true) )
                                                  & ( x
                                                    | f7($false) ) )
                                                | f7($false) ) )
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | f3($false) ) )
                | f3($false) ) )
            | f3($false) ) )
        | f2($false) ) ) ),
    introduced(definition) ).

fof(c_0_15,plain,
    ( epred18_0
  <=> ( ( ( ( ( ( ( ( ~ x
                    | ~ f7($true) )
                  & ( x
                    | ~ f7($false) ) )
                | ~ f7($true) )
              & ( ( ( ~ x
                    | f7($true) )
                  & ( x
                    | f7($false) ) )
                | ~ f7($false) ) )
            | ~ f7($true) )
          & ( ( ( ( ( ~ x
                    | ~ f7($true) )
                  & ( x
                    | ~ f7($false) ) )
                | f7($true) )
              & ( ( ( ~ x
                    | f7($true) )
                  & ( x
                    | f7($false) ) )
                | f7($false) ) )
            | ~ f7($false) ) )
        | ~ f6($true) )
      & ( ( ( ( ( ( ( ~ x
                    | ~ f7($true) )
                  & ( x
                    | ~ f7($false) ) )
                | ~ f7($true) )
              & ( ( ( ~ x
                    | f7($true) )
                  & ( x
                    | f7($false) ) )
                | ~ f7($false) ) )
            | f7($true) )
          & ( ( ( ( ( ~ x
                    | ~ f7($true) )
                  & ( x
                    | ~ f7($false) ) )
                | f7($true) )
              & ( ( ( ~ x
                    | f7($true) )
                  & ( x
                    | f7($false) ) )
                | f7($false) ) )
            | f7($false) ) )
        | ~ f6($false) ) ) ),
    introduced(definition) ).

fof(c_0_16,plain,
    ( epred16_0
  <=> ( ( ( ( ~ x
            | ~ f7($true) )
          & ( x
            | ~ f7($false) ) )
        | ~ f7($true) )
      & ( ( ( ~ x
            | f7($true) )
          & ( x
            | f7($false) ) )
        | ~ f7($false) ) ) ),
    introduced(definition) ).

fof(c_0_17,plain,
    ( ( ~ x
      | ~ f7($true)
      | f7($true)
      | ~ epred17_0 )
    & ( x
      | ~ f7($false)
      | f7($true)
      | ~ epred17_0 )
    & ( ~ x
      | f7($true)
      | f7($false)
      | ~ epred17_0 )
    & ( x
      | f7($false)
      | f7($false)
      | ~ epred17_0 )
    & ( ~ x
      | x
      | ~ x
      | x
      | epred17_0 )
    & ( ~ f7($false)
      | x
      | ~ x
      | x
      | epred17_0 )
    & ( ~ x
      | ~ f7($true)
      | ~ x
      | x
      | epred17_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | ~ x
      | x
      | epred17_0 )
    & ( ~ f7($false)
      | ~ x
      | x
      | epred17_0 )
    & ( ~ x
      | x
      | f7($false)
      | x
      | epred17_0 )
    & ( ~ f7($false)
      | x
      | f7($false)
      | x
      | epred17_0 )
    & ( ~ x
      | ~ f7($true)
      | f7($false)
      | x
      | epred17_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | f7($false)
      | x
      | epred17_0 )
    & ( ~ f7($false)
      | f7($false)
      | x
      | epred17_0 )
    & ( ~ x
      | x
      | ~ x
      | f7($true)
      | epred17_0 )
    & ( ~ f7($false)
      | x
      | ~ x
      | f7($true)
      | epred17_0 )
    & ( ~ x
      | ~ f7($true)
      | ~ x
      | f7($true)
      | epred17_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | ~ x
      | f7($true)
      | epred17_0 )
    & ( ~ f7($false)
      | ~ x
      | f7($true)
      | epred17_0 )
    & ( ~ x
      | x
      | f7($false)
      | f7($true)
      | epred17_0 )
    & ( ~ f7($false)
      | x
      | f7($false)
      | f7($true)
      | epred17_0 )
    & ( ~ x
      | ~ f7($true)
      | f7($false)
      | f7($true)
      | epred17_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | f7($false)
      | f7($true)
      | epred17_0 )
    & ( ~ f7($false)
      | f7($false)
      | f7($true)
      | epred17_0 )
    & ( ~ x
      | x
      | ~ f7($true)
      | epred17_0 )
    & ( ~ f7($false)
      | x
      | ~ f7($true)
      | epred17_0 )
    & ( ~ x
      | ~ f7($true)
      | ~ f7($true)
      | epred17_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | ~ f7($true)
      | epred17_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | epred17_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).

fof(c_0_18,plain,
    ( epred29_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | ~ f3($false) ) )
                | ~ f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | f3($false) ) )
                | ~ f2($false) ) )
            | ~ f1($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | ~ f3($false) ) )
                | f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | f3($false) ) )
                | f2($false) ) )
            | ~ f1($false) ) )
        | f1($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | ~ f3($false) ) )
                | ~ f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | f3($false) ) )
                | ~ f2($false) ) )
            | f1($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | ~ f3($false) ) )
                | f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f4($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | ~ f6($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | ~ f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | ~ f7($false) ) )
                                                | f6($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | ~ f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | ~ f7($false) ) )
                                                    | f7($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f7($true) )
                                                          & ( x
                                                            | ~ f7($false) ) )
                                                        | f7($true) )
                                                      & ( ( ( ~ x
                                                            | f7($true) )
                                                          & ( x
                                                            | f7($false) ) )
                                                        | f7($false) ) )
                                                    | f7($false) ) )
                                                | f6($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f4($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | f3($false) ) )
                | f2($false) ) )
            | f1($false) ) )
        | f1($false) ) ) ),
    introduced(definition) ).

fof(c_0_19,plain,
    ( ( epred11_0
      | ~ f1($true)
      | f0($true)
      | ~ epred14_0 )
    & ( epred12_0
      | ~ f1($false)
      | f0($true)
      | ~ epred14_0 )
    & ( epred11_0
      | f1($true)
      | f0($false)
      | ~ epred14_0 )
    & ( epred12_0
      | f1($false)
      | f0($false)
      | ~ epred14_0 )
    & ( ~ epred12_0
      | ~ epred11_0
      | ~ epred12_0
      | ~ epred11_0
      | epred14_0 )
    & ( ~ f1($false)
      | ~ epred11_0
      | ~ epred12_0
      | ~ epred11_0
      | epred14_0 )
    & ( ~ epred12_0
      | ~ f1($true)
      | ~ epred12_0
      | ~ epred11_0
      | epred14_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | ~ epred12_0
      | ~ epred11_0
      | epred14_0 )
    & ( ~ f0($false)
      | ~ epred12_0
      | ~ epred11_0
      | epred14_0 )
    & ( ~ epred12_0
      | ~ epred11_0
      | f1($false)
      | ~ epred11_0
      | epred14_0 )
    & ( ~ f1($false)
      | ~ epred11_0
      | f1($false)
      | ~ epred11_0
      | epred14_0 )
    & ( ~ epred12_0
      | ~ f1($true)
      | f1($false)
      | ~ epred11_0
      | epred14_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | f1($false)
      | ~ epred11_0
      | epred14_0 )
    & ( ~ f0($false)
      | f1($false)
      | ~ epred11_0
      | epred14_0 )
    & ( ~ epred12_0
      | ~ epred11_0
      | ~ epred12_0
      | f1($true)
      | epred14_0 )
    & ( ~ f1($false)
      | ~ epred11_0
      | ~ epred12_0
      | f1($true)
      | epred14_0 )
    & ( ~ epred12_0
      | ~ f1($true)
      | ~ epred12_0
      | f1($true)
      | epred14_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | ~ epred12_0
      | f1($true)
      | epred14_0 )
    & ( ~ f0($false)
      | ~ epred12_0
      | f1($true)
      | epred14_0 )
    & ( ~ epred12_0
      | ~ epred11_0
      | f1($false)
      | f1($true)
      | epred14_0 )
    & ( ~ f1($false)
      | ~ epred11_0
      | f1($false)
      | f1($true)
      | epred14_0 )
    & ( ~ epred12_0
      | ~ f1($true)
      | f1($false)
      | f1($true)
      | epred14_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | f1($false)
      | f1($true)
      | epred14_0 )
    & ( ~ f0($false)
      | f1($false)
      | f1($true)
      | epred14_0 )
    & ( ~ epred12_0
      | ~ epred11_0
      | ~ f0($true)
      | epred14_0 )
    & ( ~ f1($false)
      | ~ epred11_0
      | ~ f0($true)
      | epred14_0 )
    & ( ~ epred12_0
      | ~ f1($true)
      | ~ f0($true)
      | epred14_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | ~ f0($true)
      | epred14_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | epred14_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).

cnf(c_0_20,plain,
    ( epred14_0
    | f0($true)
    | ~ f0($false)
    | ~ epred15_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_21,plain,
    ( epred14_0
    | f0($false)
    | ~ epred15_0 ),
    inference(cn,[status(thm)],[c_0_10]) ).

fof(c_0_22,negated_conjecture,
    ~ ( epred15_0
    <=> epred30_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[kaminski8])]),c_0_1]),c_0_11]) ).

fof(c_0_23,plain,
    ( epred28_0
  <=> ( ( ( ( epred26_0
            | ~ f1($true) )
          & ( epred27_0
            | ~ f1($false) ) )
        | ~ f1($true) )
      & ( ( ( epred26_0
            | f1($true) )
          & ( epred27_0
            | f1($false) ) )
        | ~ f1($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_13]),c_0_14]) ).

fof(c_0_24,plain,
    ( epred2_0
  <=> ( ( ( ( ~ x
            | ~ f7($true) )
          & ( x
            | ~ f7($false) ) )
        | f6($true) )
      & ( ( ( ~ x
            | f7($true) )
          & ( x
            | f7($false) ) )
        | f6($false) ) ) ),
    introduced(definition) ).

fof(c_0_25,plain,
    ( epred18_0
  <=> ( ( ( ( epred16_0
            | ~ f7($true) )
          & ( epred17_0
            | ~ f7($false) ) )
        | ~ f6($true) )
      & ( ( ( epred16_0
            | f7($true) )
          & ( epred17_0
            | f7($false) ) )
        | ~ f6($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_15,c_0_16]),c_0_8]),c_0_16]),c_0_8]) ).

cnf(c_0_26,plain,
    ( x
    | f7($false)
    | f7($false)
    | ~ epred17_0 ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_27,plain,
    ( epred19_0
  <=> ( ( ( ( ( ( ( ( ~ x
                    | ~ f7($true) )
                  & ( x
                    | ~ f7($false) ) )
                | ~ f7($true) )
              & ( ( ( ~ x
                    | f7($true) )
                  & ( x
                    | f7($false) ) )
                | ~ f7($false) ) )
            | ~ f7($true) )
          & ( ( ( ( ( ~ x
                    | ~ f7($true) )
                  & ( x
                    | ~ f7($false) ) )
                | f7($true) )
              & ( ( ( ~ x
                    | f7($true) )
                  & ( x
                    | f7($false) ) )
                | f7($false) ) )
            | ~ f7($false) ) )
        | f6($true) )
      & ( ( ( ( ( ( ( ~ x
                    | ~ f7($true) )
                  & ( x
                    | ~ f7($false) ) )
                | ~ f7($true) )
              & ( ( ( ~ x
                    | f7($true) )
                  & ( x
                    | f7($false) ) )
                | ~ f7($false) ) )
            | f7($true) )
          & ( ( ( ( ( ~ x
                    | ~ f7($true) )
                  & ( x
                    | ~ f7($false) ) )
                | f7($true) )
              & ( ( ( ~ x
                    | f7($true) )
                  & ( x
                    | f7($false) ) )
                | f7($false) ) )
            | f7($false) ) )
        | f6($false) ) ) ),
    introduced(definition) ).

cnf(c_0_28,plain,
    ( epred15_0
    | ~ epred14_0
    | ~ f0($true)
    | ~ f0($true) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_29,plain,
    ( epred13_0
  <=> ( ( ( ( epred11_0
            | ~ f1($true) )
          & ( epred12_0
            | ~ f1($false) ) )
        | ~ f0($true) )
      & ( ( ( epred11_0
            | f1($true) )
          & ( epred12_0
            | f1($false) ) )
        | ~ f0($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_2,c_0_5]),c_0_6]),c_0_5]),c_0_6]) ).

fof(c_0_30,plain,
    ( epred30_0
  <=> ( ( ( ( epred28_0
            | ~ f1($true) )
          & ( epred29_0
            | ~ f1($false) ) )
        | f0($true) )
      & ( ( ( epred28_0
            | f1($true) )
          & ( epred29_0
            | f1($false) ) )
        | f0($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_11,c_0_12]),c_0_18]),c_0_12]),c_0_18]) ).

cnf(c_0_31,plain,
    ( epred14_0
    | ~ f0($false)
    | ~ f0($true) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_32,plain,
    ( epred14_0
    | f0($true)
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[c_0_20,c_0_21]) ).

fof(c_0_33,negated_conjecture,
    ( ( ~ epred15_0
      | ~ epred30_0 )
    & ( epred15_0
      | epred30_0 ) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])]) ).

fof(c_0_34,plain,
    ( epred29_0
  <=> ( ( ( ( epred26_0
            | ~ f1($true) )
          & ( epred27_0
            | ~ f1($false) ) )
        | f1($true) )
      & ( ( ( epred26_0
            | f1($true) )
          & ( epred27_0
            | f1($false) ) )
        | f1($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_18,c_0_13]),c_0_14]),c_0_13]),c_0_14]) ).

fof(c_0_35,plain,
    ( ( epred26_0
      | ~ f1($true)
      | ~ f1($true)
      | ~ epred28_0 )
    & ( epred27_0
      | ~ f1($false)
      | ~ f1($true)
      | ~ epred28_0 )
    & ( epred26_0
      | f1($true)
      | ~ f1($false)
      | ~ epred28_0 )
    & ( epred27_0
      | f1($false)
      | ~ f1($false)
      | ~ epred28_0 )
    & ( ~ epred27_0
      | ~ epred26_0
      | ~ epred27_0
      | ~ epred26_0
      | epred28_0 )
    & ( ~ f1($false)
      | ~ epred26_0
      | ~ epred27_0
      | ~ epred26_0
      | epred28_0 )
    & ( ~ epred27_0
      | ~ f1($true)
      | ~ epred27_0
      | ~ epred26_0
      | epred28_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | ~ epred27_0
      | ~ epred26_0
      | epred28_0 )
    & ( f1($false)
      | ~ epred27_0
      | ~ epred26_0
      | epred28_0 )
    & ( ~ epred27_0
      | ~ epred26_0
      | f1($false)
      | ~ epred26_0
      | epred28_0 )
    & ( ~ f1($false)
      | ~ epred26_0
      | f1($false)
      | ~ epred26_0
      | epred28_0 )
    & ( ~ epred27_0
      | ~ f1($true)
      | f1($false)
      | ~ epred26_0
      | epred28_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | f1($false)
      | ~ epred26_0
      | epred28_0 )
    & ( f1($false)
      | f1($false)
      | ~ epred26_0
      | epred28_0 )
    & ( ~ epred27_0
      | ~ epred26_0
      | ~ epred27_0
      | f1($true)
      | epred28_0 )
    & ( ~ f1($false)
      | ~ epred26_0
      | ~ epred27_0
      | f1($true)
      | epred28_0 )
    & ( ~ epred27_0
      | ~ f1($true)
      | ~ epred27_0
      | f1($true)
      | epred28_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | ~ epred27_0
      | f1($true)
      | epred28_0 )
    & ( f1($false)
      | ~ epred27_0
      | f1($true)
      | epred28_0 )
    & ( ~ epred27_0
      | ~ epred26_0
      | f1($false)
      | f1($true)
      | epred28_0 )
    & ( ~ f1($false)
      | ~ epred26_0
      | f1($false)
      | f1($true)
      | epred28_0 )
    & ( ~ epred27_0
      | ~ f1($true)
      | f1($false)
      | f1($true)
      | epred28_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | f1($false)
      | f1($true)
      | epred28_0 )
    & ( f1($false)
      | f1($false)
      | f1($true)
      | epred28_0 )
    & ( ~ epred27_0
      | ~ epred26_0
      | f1($true)
      | epred28_0 )
    & ( ~ f1($false)
      | ~ epred26_0
      | f1($true)
      | epred28_0 )
    & ( ~ epred27_0
      | ~ f1($true)
      | f1($true)
      | epred28_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | f1($true)
      | epred28_0 )
    & ( f1($false)
      | f1($true)
      | epred28_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).

fof(c_0_36,plain,
    ( ( ~ x
      | ~ f7($true)
      | f6($true)
      | ~ epred2_0 )
    & ( x
      | ~ f7($false)
      | f6($true)
      | ~ epred2_0 )
    & ( ~ x
      | f7($true)
      | f6($false)
      | ~ epred2_0 )
    & ( x
      | f7($false)
      | f6($false)
      | ~ epred2_0 )
    & ( ~ x
      | x
      | ~ x
      | x
      | epred2_0 )
    & ( ~ f7($false)
      | x
      | ~ x
      | x
      | epred2_0 )
    & ( ~ x
      | ~ f7($true)
      | ~ x
      | x
      | epred2_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | ~ x
      | x
      | epred2_0 )
    & ( ~ f6($false)
      | ~ x
      | x
      | epred2_0 )
    & ( ~ x
      | x
      | f7($false)
      | x
      | epred2_0 )
    & ( ~ f7($false)
      | x
      | f7($false)
      | x
      | epred2_0 )
    & ( ~ x
      | ~ f7($true)
      | f7($false)
      | x
      | epred2_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | f7($false)
      | x
      | epred2_0 )
    & ( ~ f6($false)
      | f7($false)
      | x
      | epred2_0 )
    & ( ~ x
      | x
      | ~ x
      | f7($true)
      | epred2_0 )
    & ( ~ f7($false)
      | x
      | ~ x
      | f7($true)
      | epred2_0 )
    & ( ~ x
      | ~ f7($true)
      | ~ x
      | f7($true)
      | epred2_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | ~ x
      | f7($true)
      | epred2_0 )
    & ( ~ f6($false)
      | ~ x
      | f7($true)
      | epred2_0 )
    & ( ~ x
      | x
      | f7($false)
      | f7($true)
      | epred2_0 )
    & ( ~ f7($false)
      | x
      | f7($false)
      | f7($true)
      | epred2_0 )
    & ( ~ x
      | ~ f7($true)
      | f7($false)
      | f7($true)
      | epred2_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | f7($false)
      | f7($true)
      | epred2_0 )
    & ( ~ f6($false)
      | f7($false)
      | f7($true)
      | epred2_0 )
    & ( ~ x
      | x
      | ~ f6($true)
      | epred2_0 )
    & ( ~ f7($false)
      | x
      | ~ f6($true)
      | epred2_0 )
    & ( ~ x
      | ~ f7($true)
      | ~ f6($true)
      | epred2_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | ~ f6($true)
      | epred2_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | epred2_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).

fof(c_0_37,plain,
    ( ( epred16_0
      | ~ f7($true)
      | ~ f6($true)
      | ~ epred18_0 )
    & ( epred17_0
      | ~ f7($false)
      | ~ f6($true)
      | ~ epred18_0 )
    & ( epred16_0
      | f7($true)
      | ~ f6($false)
      | ~ epred18_0 )
    & ( epred17_0
      | f7($false)
      | ~ f6($false)
      | ~ epred18_0 )
    & ( ~ epred17_0
      | ~ epred16_0
      | ~ epred17_0
      | ~ epred16_0
      | epred18_0 )
    & ( ~ f7($false)
      | ~ epred16_0
      | ~ epred17_0
      | ~ epred16_0
      | epred18_0 )
    & ( ~ epred17_0
      | ~ f7($true)
      | ~ epred17_0
      | ~ epred16_0
      | epred18_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | ~ epred17_0
      | ~ epred16_0
      | epred18_0 )
    & ( f6($false)
      | ~ epred17_0
      | ~ epred16_0
      | epred18_0 )
    & ( ~ epred17_0
      | ~ epred16_0
      | f7($false)
      | ~ epred16_0
      | epred18_0 )
    & ( ~ f7($false)
      | ~ epred16_0
      | f7($false)
      | ~ epred16_0
      | epred18_0 )
    & ( ~ epred17_0
      | ~ f7($true)
      | f7($false)
      | ~ epred16_0
      | epred18_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | f7($false)
      | ~ epred16_0
      | epred18_0 )
    & ( f6($false)
      | f7($false)
      | ~ epred16_0
      | epred18_0 )
    & ( ~ epred17_0
      | ~ epred16_0
      | ~ epred17_0
      | f7($true)
      | epred18_0 )
    & ( ~ f7($false)
      | ~ epred16_0
      | ~ epred17_0
      | f7($true)
      | epred18_0 )
    & ( ~ epred17_0
      | ~ f7($true)
      | ~ epred17_0
      | f7($true)
      | epred18_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | ~ epred17_0
      | f7($true)
      | epred18_0 )
    & ( f6($false)
      | ~ epred17_0
      | f7($true)
      | epred18_0 )
    & ( ~ epred17_0
      | ~ epred16_0
      | f7($false)
      | f7($true)
      | epred18_0 )
    & ( ~ f7($false)
      | ~ epred16_0
      | f7($false)
      | f7($true)
      | epred18_0 )
    & ( ~ epred17_0
      | ~ f7($true)
      | f7($false)
      | f7($true)
      | epred18_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | f7($false)
      | f7($true)
      | epred18_0 )
    & ( f6($false)
      | f7($false)
      | f7($true)
      | epred18_0 )
    & ( ~ epred17_0
      | ~ epred16_0
      | f6($true)
      | epred18_0 )
    & ( ~ f7($false)
      | ~ epred16_0
      | f6($true)
      | epred18_0 )
    & ( ~ epred17_0
      | ~ f7($true)
      | f6($true)
      | epred18_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | f6($true)
      | epred18_0 )
    & ( f6($false)
      | f6($true)
      | epred18_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).

cnf(c_0_38,plain,
    ( x
    | f7($true)
    | ~ f7($false)
    | ~ epred17_0 ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_39,plain,
    ( x
    | f7($false)
    | ~ epred17_0 ),
    inference(cn,[status(thm)],[c_0_26]) ).

fof(c_0_40,plain,
    ( ( ~ x
      | ~ f7($true)
      | ~ f7($true)
      | ~ epred16_0 )
    & ( x
      | ~ f7($false)
      | ~ f7($true)
      | ~ epred16_0 )
    & ( ~ x
      | f7($true)
      | ~ f7($false)
      | ~ epred16_0 )
    & ( x
      | f7($false)
      | ~ f7($false)
      | ~ epred16_0 )
    & ( ~ x
      | x
      | ~ x
      | x
      | epred16_0 )
    & ( ~ f7($false)
      | x
      | ~ x
      | x
      | epred16_0 )
    & ( ~ x
      | ~ f7($true)
      | ~ x
      | x
      | epred16_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | ~ x
      | x
      | epred16_0 )
    & ( f7($false)
      | ~ x
      | x
      | epred16_0 )
    & ( ~ x
      | x
      | f7($false)
      | x
      | epred16_0 )
    & ( ~ f7($false)
      | x
      | f7($false)
      | x
      | epred16_0 )
    & ( ~ x
      | ~ f7($true)
      | f7($false)
      | x
      | epred16_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | f7($false)
      | x
      | epred16_0 )
    & ( f7($false)
      | f7($false)
      | x
      | epred16_0 )
    & ( ~ x
      | x
      | ~ x
      | f7($true)
      | epred16_0 )
    & ( ~ f7($false)
      | x
      | ~ x
      | f7($true)
      | epred16_0 )
    & ( ~ x
      | ~ f7($true)
      | ~ x
      | f7($true)
      | epred16_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | ~ x
      | f7($true)
      | epred16_0 )
    & ( f7($false)
      | ~ x
      | f7($true)
      | epred16_0 )
    & ( ~ x
      | x
      | f7($false)
      | f7($true)
      | epred16_0 )
    & ( ~ f7($false)
      | x
      | f7($false)
      | f7($true)
      | epred16_0 )
    & ( ~ x
      | ~ f7($true)
      | f7($false)
      | f7($true)
      | epred16_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | f7($false)
      | f7($true)
      | epred16_0 )
    & ( f7($false)
      | f7($false)
      | f7($true)
      | epred16_0 )
    & ( ~ x
      | x
      | f7($true)
      | epred16_0 )
    & ( ~ f7($false)
      | x
      | f7($true)
      | epred16_0 )
    & ( ~ x
      | ~ f7($true)
      | f7($true)
      | epred16_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | f7($true)
      | epred16_0 )
    & ( f7($false)
      | f7($true)
      | epred16_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).

fof(c_0_41,plain,
    ( epred19_0
  <=> ( ( ( ( epred16_0
            | ~ f7($true) )
          & ( epred17_0
            | ~ f7($false) ) )
        | f6($true) )
      & ( ( ( epred16_0
            | f7($true) )
          & ( epred17_0
            | f7($false) ) )
        | f6($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_27,c_0_16]),c_0_8]),c_0_16]),c_0_8]) ).

fof(c_0_42,plain,
    ( epred1_0
  <=> ( ( ( ( ~ x
            | ~ f7($true) )
          & ( x
            | ~ f7($false) ) )
        | ~ f6($true) )
      & ( ( ( ~ x
            | f7($true) )
          & ( x
            | f7($false) ) )
        | ~ f6($false) ) ) ),
    introduced(definition) ).

cnf(c_0_43,plain,
    ( f0($true)
    | epred15_0
    | ~ f0($false)
    | ~ epred14_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_44,plain,
    ( epred15_0
    | ~ epred14_0
    | ~ f0($true) ),
    inference(cn,[status(thm)],[c_0_28]) ).

fof(c_0_45,plain,
    ( ( epred11_0
      | ~ f1($true)
      | ~ f0($true)
      | ~ epred13_0 )
    & ( epred12_0
      | ~ f1($false)
      | ~ f0($true)
      | ~ epred13_0 )
    & ( epred11_0
      | f1($true)
      | ~ f0($false)
      | ~ epred13_0 )
    & ( epred12_0
      | f1($false)
      | ~ f0($false)
      | ~ epred13_0 )
    & ( ~ epred12_0
      | ~ epred11_0
      | ~ epred12_0
      | ~ epred11_0
      | epred13_0 )
    & ( ~ f1($false)
      | ~ epred11_0
      | ~ epred12_0
      | ~ epred11_0
      | epred13_0 )
    & ( ~ epred12_0
      | ~ f1($true)
      | ~ epred12_0
      | ~ epred11_0
      | epred13_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | ~ epred12_0
      | ~ epred11_0
      | epred13_0 )
    & ( f0($false)
      | ~ epred12_0
      | ~ epred11_0
      | epred13_0 )
    & ( ~ epred12_0
      | ~ epred11_0
      | f1($false)
      | ~ epred11_0
      | epred13_0 )
    & ( ~ f1($false)
      | ~ epred11_0
      | f1($false)
      | ~ epred11_0
      | epred13_0 )
    & ( ~ epred12_0
      | ~ f1($true)
      | f1($false)
      | ~ epred11_0
      | epred13_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | f1($false)
      | ~ epred11_0
      | epred13_0 )
    & ( f0($false)
      | f1($false)
      | ~ epred11_0
      | epred13_0 )
    & ( ~ epred12_0
      | ~ epred11_0
      | ~ epred12_0
      | f1($true)
      | epred13_0 )
    & ( ~ f1($false)
      | ~ epred11_0
      | ~ epred12_0
      | f1($true)
      | epred13_0 )
    & ( ~ epred12_0
      | ~ f1($true)
      | ~ epred12_0
      | f1($true)
      | epred13_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | ~ epred12_0
      | f1($true)
      | epred13_0 )
    & ( f0($false)
      | ~ epred12_0
      | f1($true)
      | epred13_0 )
    & ( ~ epred12_0
      | ~ epred11_0
      | f1($false)
      | f1($true)
      | epred13_0 )
    & ( ~ f1($false)
      | ~ epred11_0
      | f1($false)
      | f1($true)
      | epred13_0 )
    & ( ~ epred12_0
      | ~ f1($true)
      | f1($false)
      | f1($true)
      | epred13_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | f1($false)
      | f1($true)
      | epred13_0 )
    & ( f0($false)
      | f1($false)
      | f1($true)
      | epred13_0 )
    & ( ~ epred12_0
      | ~ epred11_0
      | f0($true)
      | epred13_0 )
    & ( ~ f1($false)
      | ~ epred11_0
      | f0($true)
      | epred13_0 )
    & ( ~ epred12_0
      | ~ f1($true)
      | f0($true)
      | epred13_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | f0($true)
      | epred13_0 )
    & ( f0($false)
      | f0($true)
      | epred13_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).

cnf(c_0_46,plain,
    ( epred15_0
    | ~ epred14_0
    | ~ epred13_0
    | ~ epred14_0
    | ~ epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_47,plain,
    ( ( epred28_0
      | ~ f1($true)
      | f0($true)
      | ~ epred30_0 )
    & ( epred29_0
      | ~ f1($false)
      | f0($true)
      | ~ epred30_0 )
    & ( epred28_0
      | f1($true)
      | f0($false)
      | ~ epred30_0 )
    & ( epred29_0
      | f1($false)
      | f0($false)
      | ~ epred30_0 )
    & ( ~ epred29_0
      | ~ epred28_0
      | ~ epred29_0
      | ~ epred28_0
      | epred30_0 )
    & ( ~ f1($false)
      | ~ epred28_0
      | ~ epred29_0
      | ~ epred28_0
      | epred30_0 )
    & ( ~ epred29_0
      | ~ f1($true)
      | ~ epred29_0
      | ~ epred28_0
      | epred30_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | ~ epred29_0
      | ~ epred28_0
      | epred30_0 )
    & ( ~ f0($false)
      | ~ epred29_0
      | ~ epred28_0
      | epred30_0 )
    & ( ~ epred29_0
      | ~ epred28_0
      | f1($false)
      | ~ epred28_0
      | epred30_0 )
    & ( ~ f1($false)
      | ~ epred28_0
      | f1($false)
      | ~ epred28_0
      | epred30_0 )
    & ( ~ epred29_0
      | ~ f1($true)
      | f1($false)
      | ~ epred28_0
      | epred30_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | f1($false)
      | ~ epred28_0
      | epred30_0 )
    & ( ~ f0($false)
      | f1($false)
      | ~ epred28_0
      | epred30_0 )
    & ( ~ epred29_0
      | ~ epred28_0
      | ~ epred29_0
      | f1($true)
      | epred30_0 )
    & ( ~ f1($false)
      | ~ epred28_0
      | ~ epred29_0
      | f1($true)
      | epred30_0 )
    & ( ~ epred29_0
      | ~ f1($true)
      | ~ epred29_0
      | f1($true)
      | epred30_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | ~ epred29_0
      | f1($true)
      | epred30_0 )
    & ( ~ f0($false)
      | ~ epred29_0
      | f1($true)
      | epred30_0 )
    & ( ~ epred29_0
      | ~ epred28_0
      | f1($false)
      | f1($true)
      | epred30_0 )
    & ( ~ f1($false)
      | ~ epred28_0
      | f1($false)
      | f1($true)
      | epred30_0 )
    & ( ~ epred29_0
      | ~ f1($true)
      | f1($false)
      | f1($true)
      | epred30_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | f1($false)
      | f1($true)
      | epred30_0 )
    & ( ~ f0($false)
      | f1($false)
      | f1($true)
      | epred30_0 )
    & ( ~ epred29_0
      | ~ epred28_0
      | ~ f0($true)
      | epred30_0 )
    & ( ~ f1($false)
      | ~ epred28_0
      | ~ f0($true)
      | epred30_0 )
    & ( ~ epred29_0
      | ~ f1($true)
      | ~ f0($true)
      | epred30_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | ~ f0($true)
      | epred30_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | epred30_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).

cnf(c_0_48,plain,
    ( epred14_0
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_21]),c_0_32]) ).

cnf(c_0_49,negated_conjecture,
    ( epred15_0
    | epred30_0 ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

fof(c_0_50,plain,
    ( ( epred26_0
      | ~ f1($true)
      | f1($true)
      | ~ epred29_0 )
    & ( epred27_0
      | ~ f1($false)
      | f1($true)
      | ~ epred29_0 )
    & ( epred26_0
      | f1($true)
      | f1($false)
      | ~ epred29_0 )
    & ( epred27_0
      | f1($false)
      | f1($false)
      | ~ epred29_0 )
    & ( ~ epred27_0
      | ~ epred26_0
      | ~ epred27_0
      | ~ epred26_0
      | epred29_0 )
    & ( ~ f1($false)
      | ~ epred26_0
      | ~ epred27_0
      | ~ epred26_0
      | epred29_0 )
    & ( ~ epred27_0
      | ~ f1($true)
      | ~ epred27_0
      | ~ epred26_0
      | epred29_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | ~ epred27_0
      | ~ epred26_0
      | epred29_0 )
    & ( ~ f1($false)
      | ~ epred27_0
      | ~ epred26_0
      | epred29_0 )
    & ( ~ epred27_0
      | ~ epred26_0
      | f1($false)
      | ~ epred26_0
      | epred29_0 )
    & ( ~ f1($false)
      | ~ epred26_0
      | f1($false)
      | ~ epred26_0
      | epred29_0 )
    & ( ~ epred27_0
      | ~ f1($true)
      | f1($false)
      | ~ epred26_0
      | epred29_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | f1($false)
      | ~ epred26_0
      | epred29_0 )
    & ( ~ f1($false)
      | f1($false)
      | ~ epred26_0
      | epred29_0 )
    & ( ~ epred27_0
      | ~ epred26_0
      | ~ epred27_0
      | f1($true)
      | epred29_0 )
    & ( ~ f1($false)
      | ~ epred26_0
      | ~ epred27_0
      | f1($true)
      | epred29_0 )
    & ( ~ epred27_0
      | ~ f1($true)
      | ~ epred27_0
      | f1($true)
      | epred29_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | ~ epred27_0
      | f1($true)
      | epred29_0 )
    & ( ~ f1($false)
      | ~ epred27_0
      | f1($true)
      | epred29_0 )
    & ( ~ epred27_0
      | ~ epred26_0
      | f1($false)
      | f1($true)
      | epred29_0 )
    & ( ~ f1($false)
      | ~ epred26_0
      | f1($false)
      | f1($true)
      | epred29_0 )
    & ( ~ epred27_0
      | ~ f1($true)
      | f1($false)
      | f1($true)
      | epred29_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | f1($false)
      | f1($true)
      | epred29_0 )
    & ( ~ f1($false)
      | f1($false)
      | f1($true)
      | epred29_0 )
    & ( ~ epred27_0
      | ~ epred26_0
      | ~ f1($true)
      | epred29_0 )
    & ( ~ f1($false)
      | ~ epred26_0
      | ~ f1($true)
      | epred29_0 )
    & ( ~ epred27_0
      | ~ f1($true)
      | ~ f1($true)
      | epred29_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | ~ f1($true)
      | epred29_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | epred29_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).

cnf(c_0_51,plain,
    ( epred26_0
    | ~ f1($true)
    | ~ f1($true)
    | ~ epred28_0 ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

fof(c_0_52,plain,
    ( epred25_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | ~ f5($false) ) )
                | ~ f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | f5($false) ) )
                | ~ f4($false) ) )
            | ~ f3($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | ~ f5($false) ) )
                | f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | f5($false) ) )
                | f4($false) ) )
            | ~ f3($false) ) )
        | f3($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | ~ f5($false) ) )
                | ~ f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | f5($false) ) )
                | ~ f4($false) ) )
            | f3($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | ~ f5($false) ) )
                | f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | f5($false) ) )
                | f4($false) ) )
            | f3($false) ) )
        | f3($false) ) ) ),
    introduced(definition) ).

fof(c_0_53,plain,
    ( epred22_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | f6($false) ) )
                    | ~ f5($false) ) )
                | ~ f5($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | f6($false) ) )
                    | f5($false) ) )
                | ~ f5($false) ) )
            | ~ f5($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | f6($false) ) )
                    | ~ f5($false) ) )
                | f5($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | f6($false) ) )
                    | f5($false) ) )
                | f5($false) ) )
            | ~ f5($false) ) )
        | ~ f4($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | f6($false) ) )
                    | ~ f5($false) ) )
                | ~ f5($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | f6($false) ) )
                    | f5($false) ) )
                | ~ f5($false) ) )
            | f5($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | f6($false) ) )
                    | ~ f5($false) ) )
                | f5($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | f6($false) ) )
                    | f5($false) ) )
                | f5($false) ) )
            | f5($false) ) )
        | ~ f4($false) ) ) ),
    introduced(definition) ).

fof(c_0_54,plain,
    ( epred23_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | f6($false) ) )
                    | ~ f5($false) ) )
                | ~ f5($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | f6($false) ) )
                    | f5($false) ) )
                | ~ f5($false) ) )
            | ~ f5($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | f6($false) ) )
                    | ~ f5($false) ) )
                | f5($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | f6($false) ) )
                    | f5($false) ) )
                | f5($false) ) )
            | ~ f5($false) ) )
        | f4($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | f6($false) ) )
                    | ~ f5($false) ) )
                | ~ f5($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | f6($false) ) )
                    | f5($false) ) )
                | ~ f5($false) ) )
            | f5($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | f6($false) ) )
                    | ~ f5($false) ) )
                | f5($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | ~ f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f7($false) ) )
                            | f7($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f7($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f7($false) ) )
                            | f7($false) ) )
                        | f6($false) ) )
                    | f5($false) ) )
                | f5($false) ) )
            | f5($false) ) )
        | f4($false) ) ) ),
    introduced(definition) ).

fof(c_0_55,plain,
    ( epred24_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | ~ f5($false) ) )
                | ~ f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | f5($false) ) )
                | ~ f4($false) ) )
            | ~ f3($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | ~ f5($false) ) )
                | f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | f5($false) ) )
                | f4($false) ) )
            | ~ f3($false) ) )
        | ~ f3($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | ~ f5($false) ) )
                | ~ f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | f5($false) ) )
                | ~ f4($false) ) )
            | f3($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | ~ f5($false) ) )
                | f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | ~ f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f7($false) ) )
                                    | f7($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f7($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f7($false) ) )
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | f5($false) ) )
                | f4($false) ) )
            | f3($false) ) )
        | ~ f3($false) ) ) ),
    introduced(definition) ).

cnf(c_0_56,plain,
    ( x
    | epred2_0
    | ~ f7($false)
    | ~ f6($true) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_57,plain,
    ( f6($true)
    | epred18_0
    | ~ epred17_0
    | ~ f7($true) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_58,plain,
    ( f7($true)
    | x
    | ~ epred17_0 ),
    inference(csr,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_59,plain,
    ( epred17_0
    | ~ x
    | ~ f7($true)
    | ~ f7($true) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_60,plain,
    ( f7($false)
    | f7($false)
    | x
    | epred16_0 ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

fof(c_0_61,plain,
    ( ( epred16_0
      | ~ f7($true)
      | f6($true)
      | ~ epred19_0 )
    & ( epred17_0
      | ~ f7($false)
      | f6($true)
      | ~ epred19_0 )
    & ( epred16_0
      | f7($true)
      | f6($false)
      | ~ epred19_0 )
    & ( epred17_0
      | f7($false)
      | f6($false)
      | ~ epred19_0 )
    & ( ~ epred17_0
      | ~ epred16_0
      | ~ epred17_0
      | ~ epred16_0
      | epred19_0 )
    & ( ~ f7($false)
      | ~ epred16_0
      | ~ epred17_0
      | ~ epred16_0
      | epred19_0 )
    & ( ~ epred17_0
      | ~ f7($true)
      | ~ epred17_0
      | ~ epred16_0
      | epred19_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | ~ epred17_0
      | ~ epred16_0
      | epred19_0 )
    & ( ~ f6($false)
      | ~ epred17_0
      | ~ epred16_0
      | epred19_0 )
    & ( ~ epred17_0
      | ~ epred16_0
      | f7($false)
      | ~ epred16_0
      | epred19_0 )
    & ( ~ f7($false)
      | ~ epred16_0
      | f7($false)
      | ~ epred16_0
      | epred19_0 )
    & ( ~ epred17_0
      | ~ f7($true)
      | f7($false)
      | ~ epred16_0
      | epred19_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | f7($false)
      | ~ epred16_0
      | epred19_0 )
    & ( ~ f6($false)
      | f7($false)
      | ~ epred16_0
      | epred19_0 )
    & ( ~ epred17_0
      | ~ epred16_0
      | ~ epred17_0
      | f7($true)
      | epred19_0 )
    & ( ~ f7($false)
      | ~ epred16_0
      | ~ epred17_0
      | f7($true)
      | epred19_0 )
    & ( ~ epred17_0
      | ~ f7($true)
      | ~ epred17_0
      | f7($true)
      | epred19_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | ~ epred17_0
      | f7($true)
      | epred19_0 )
    & ( ~ f6($false)
      | ~ epred17_0
      | f7($true)
      | epred19_0 )
    & ( ~ epred17_0
      | ~ epred16_0
      | f7($false)
      | f7($true)
      | epred19_0 )
    & ( ~ f7($false)
      | ~ epred16_0
      | f7($false)
      | f7($true)
      | epred19_0 )
    & ( ~ epred17_0
      | ~ f7($true)
      | f7($false)
      | f7($true)
      | epred19_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | f7($false)
      | f7($true)
      | epred19_0 )
    & ( ~ f6($false)
      | f7($false)
      | f7($true)
      | epred19_0 )
    & ( ~ epred17_0
      | ~ epred16_0
      | ~ f6($true)
      | epred19_0 )
    & ( ~ f7($false)
      | ~ epred16_0
      | ~ f6($true)
      | epred19_0 )
    & ( ~ epred17_0
      | ~ f7($true)
      | ~ f6($true)
      | epred19_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | ~ f6($true)
      | epred19_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | epred19_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])]) ).

fof(c_0_62,plain,
    ( ( ~ x
      | ~ f7($true)
      | ~ f6($true)
      | ~ epred1_0 )
    & ( x
      | ~ f7($false)
      | ~ f6($true)
      | ~ epred1_0 )
    & ( ~ x
      | f7($true)
      | ~ f6($false)
      | ~ epred1_0 )
    & ( x
      | f7($false)
      | ~ f6($false)
      | ~ epred1_0 )
    & ( ~ x
      | x
      | ~ x
      | x
      | epred1_0 )
    & ( ~ f7($false)
      | x
      | ~ x
      | x
      | epred1_0 )
    & ( ~ x
      | ~ f7($true)
      | ~ x
      | x
      | epred1_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | ~ x
      | x
      | epred1_0 )
    & ( f6($false)
      | ~ x
      | x
      | epred1_0 )
    & ( ~ x
      | x
      | f7($false)
      | x
      | epred1_0 )
    & ( ~ f7($false)
      | x
      | f7($false)
      | x
      | epred1_0 )
    & ( ~ x
      | ~ f7($true)
      | f7($false)
      | x
      | epred1_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | f7($false)
      | x
      | epred1_0 )
    & ( f6($false)
      | f7($false)
      | x
      | epred1_0 )
    & ( ~ x
      | x
      | ~ x
      | f7($true)
      | epred1_0 )
    & ( ~ f7($false)
      | x
      | ~ x
      | f7($true)
      | epred1_0 )
    & ( ~ x
      | ~ f7($true)
      | ~ x
      | f7($true)
      | epred1_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | ~ x
      | f7($true)
      | epred1_0 )
    & ( f6($false)
      | ~ x
      | f7($true)
      | epred1_0 )
    & ( ~ x
      | x
      | f7($false)
      | f7($true)
      | epred1_0 )
    & ( ~ f7($false)
      | x
      | f7($false)
      | f7($true)
      | epred1_0 )
    & ( ~ x
      | ~ f7($true)
      | f7($false)
      | f7($true)
      | epred1_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | f7($false)
      | f7($true)
      | epred1_0 )
    & ( f6($false)
      | f7($false)
      | f7($true)
      | epred1_0 )
    & ( ~ x
      | x
      | f6($true)
      | epred1_0 )
    & ( ~ f7($false)
      | x
      | f6($true)
      | epred1_0 )
    & ( ~ x
      | ~ f7($true)
      | f6($true)
      | epred1_0 )
    & ( ~ f7($false)
      | ~ f7($true)
      | f6($true)
      | epred1_0 )
    & ( f6($false)
      | f6($true)
      | epred1_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])]) ).

cnf(c_0_63,plain,
    ( epred15_0
    | ~ epred14_0
    | ~ f0($false) ),
    inference(csr,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_64,plain,
    ( f0($false)
    | f0($true)
    | epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_65,plain,
    ( epred15_0
    | ~ epred13_0
    | ~ epred14_0 ),
    inference(cn,[status(thm)],[c_0_46]) ).

cnf(c_0_66,plain,
    ( f1($true)
    | epred30_0
    | ~ f0($false)
    | ~ epred29_0 ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_67,plain,
    ( epred11_0
    | f1($true)
    | f0($false)
    | ~ epred14_0 ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_68,negated_conjecture,
    ( epred30_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_69,plain,
    ( f1($true)
    | epred29_0
    | ~ f1($false)
    | ~ epred27_0 ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_70,plain,
    ( epred29_0
    | ~ f1($false)
    | ~ f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_71,plain,
    ( f1($false)
    | f1($true)
    | epred30_0
    | ~ f0($false) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_72,plain,
    ( f0($false)
    | f1($false)
    | f1($true)
    | epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_73,plain,
    ( epred29_0
    | ~ epred27_0
    | ~ f1($true)
    | ~ f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_74,plain,
    ( f1($false)
    | f1($true)
    | epred14_0
    | ~ f0($false) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_75,plain,
    ( epred29_0
    | f1($false)
    | f0($false)
    | ~ epred30_0 ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_76,plain,
    ( epred26_0
    | f1($true)
    | ~ f1($false)
    | ~ epred28_0 ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_77,plain,
    ( epred26_0
    | ~ epred28_0
    | ~ f1($true) ),
    inference(cn,[status(thm)],[c_0_51]) ).

fof(c_0_78,plain,
    ( epred9_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | ~ f4($false) ) )
                | ~ f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | f4($false) ) )
                | ~ f4($false) ) )
            | ~ f3($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | ~ f4($false) ) )
                | f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | f4($false) ) )
                | f4($false) ) )
            | ~ f3($false) ) )
        | ~ f2($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | ~ f4($false) ) )
                | ~ f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | f4($false) ) )
                | ~ f4($false) ) )
            | f3($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | ~ f4($false) ) )
                | f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | f4($false) ) )
                | f4($false) ) )
            | f3($false) ) )
        | ~ f2($false) ) ) ),
    introduced(definition) ).

fof(c_0_79,plain,
    ( epred10_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | ~ f4($false) ) )
                | ~ f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | f4($false) ) )
                | ~ f4($false) ) )
            | ~ f3($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | ~ f4($false) ) )
                | f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | f4($false) ) )
                | f4($false) ) )
            | ~ f3($false) ) )
        | f2($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | ~ f4($false) ) )
                | ~ f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | f4($false) ) )
                | ~ f4($false) ) )
            | f3($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | ~ f4($false) ) )
                | f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | ~ f4($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f5($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f7($true) )
                                          & ( x
                                            | ~ f7($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f7($true) )
                                          & ( x
                                            | f7($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f5($false) ) )
                        | f4($false) ) )
                    | f4($false) ) )
                | f4($false) ) )
            | f3($false) ) )
        | f2($false) ) ) ),
    introduced(definition) ).

fof(c_0_80,plain,
    ( epred25_0
  <=> ( ( ( ( epred22_0
            | ~ f3($true) )
          & ( epred23_0
            | ~ f3($false) ) )
        | f3($true) )
      & ( ( ( epred22_0
            | f3($true) )
          & ( epred23_0
            | f3($false) ) )
        | f3($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_53]),c_0_54]) ).

fof(c_0_81,plain,
    ( epred20_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f7($false) ) )
                    | ~ f7($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f7($false) ) )
                    | ~ f7($false) ) )
                | ~ f6($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f7($false) ) )
                    | f7($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f7($false) ) )
                    | f7($false) ) )
                | ~ f6($false) ) )
            | ~ f5($true) )
          & ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f7($false) ) )
                    | ~ f7($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f7($false) ) )
                    | ~ f7($false) ) )
                | f6($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f7($false) ) )
                    | f7($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f7($false) ) )
                    | f7($false) ) )
                | f6($false) ) )
            | ~ f5($false) ) )
        | ~ f5($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f7($false) ) )
                    | ~ f7($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f7($false) ) )
                    | ~ f7($false) ) )
                | ~ f6($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f7($false) ) )
                    | f7($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f7($false) ) )
                    | f7($false) ) )
                | ~ f6($false) ) )
            | f5($true) )
          & ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f7($false) ) )
                    | ~ f7($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f7($false) ) )
                    | ~ f7($false) ) )
                | f6($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f7($false) ) )
                    | f7($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f7($false) ) )
                    | f7($false) ) )
                | f6($false) ) )
            | f5($false) ) )
        | ~ f5($false) ) ) ),
    introduced(definition) ).

fof(c_0_82,plain,
    ( epred24_0
  <=> ( ( ( ( epred22_0
            | ~ f3($true) )
          & ( epred23_0
            | ~ f3($false) ) )
        | ~ f3($true) )
      & ( ( ( epred22_0
            | f3($true) )
          & ( epred23_0
            | f3($false) ) )
        | ~ f3($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_55,c_0_53]),c_0_54]),c_0_53]),c_0_54]) ).

cnf(c_0_83,plain,
    ( epred2_0
    | x
    | ~ epred17_0
    | ~ f6($true) ),
    inference(spm,[status(thm)],[c_0_56,c_0_39]) ).

cnf(c_0_84,plain,
    ( epred18_0
    | f6($true)
    | x
    | ~ epred17_0 ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_85,plain,
    ( f7($true)
    | epred17_0
    | ~ f7($false)
    | ~ x ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_86,plain,
    ( epred17_0
    | ~ x
    | ~ f7($true) ),
    inference(cn,[status(thm)],[c_0_59]) ).

cnf(c_0_87,plain,
    ( x
    | f7($true)
    | epred16_0
    | ~ f7($false) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_88,plain,
    ( x
    | epred16_0
    | f7($false) ),
    inference(cn,[status(thm)],[c_0_60]) ).

cnf(c_0_89,plain,
    ( epred19_0
    | ~ epred17_0
    | ~ f7($true)
    | ~ f6($true) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_90,plain,
    ( x
    | f6($true)
    | epred1_0
    | ~ f7($false) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_91,negated_conjecture,
    ( ~ epred15_0
    | ~ epred30_0 ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_92,plain,
    ( epred15_0
    | ~ epred14_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_44]),c_0_65]) ).

cnf(c_0_93,plain,
    ( epred30_0
    | ~ epred29_0
    | ~ f1($true)
    | ~ f0($true) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_94,plain,
    ( epred11_0
    | f0($true)
    | ~ f1($true)
    | ~ epred14_0 ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_95,plain,
    ( epred30_0
    | epred11_0
    | f1($true)
    | ~ epred29_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).

cnf(c_0_96,plain,
    ( epred29_0
    | ~ epred27_0
    | ~ f1($false) ),
    inference(csr,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_97,plain,
    ( epred30_0
    | epred13_0
    | f1($false)
    | f1($true) ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_98,plain,
    ( epred29_0
    | ~ epred27_0
    | ~ f1($true) ),
    inference(cn,[status(thm)],[c_0_73]) ).

cnf(c_0_99,plain,
    ( epred29_0
    | epred14_0
    | f1($false)
    | f1($true) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_68]) ).

cnf(c_0_100,plain,
    ( epred11_0
    | f1($true)
    | ~ f0($false)
    | ~ epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_101,plain,
    ( epred26_0
    | ~ epred28_0
    | ~ f1($false) ),
    inference(csr,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_102,plain,
    ( epred26_0
    | f1($true)
    | f1($false)
    | ~ epred29_0 ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_103,plain,
    ( f1($true)
    | epred14_0
    | ~ f0($false)
    | ~ epred12_0 ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_104,plain,
    ( epred28_0
    | f1($true)
    | f0($false)
    | ~ epred30_0 ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

fof(c_0_105,plain,
    ( epred12_0
  <=> ( ( ( ( epred9_0
            | ~ f2($true) )
          & ( epred10_0
            | ~ f2($false) ) )
        | f2($true) )
      & ( ( ( epred9_0
            | f2($true) )
          & ( epred10_0
            | f2($false) ) )
        | f2($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_6,c_0_78]),c_0_79]),c_0_78]),c_0_79]) ).

fof(c_0_106,plain,
    ( epred7_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f6($false) ) )
                    | ~ f5($false) ) )
                | ~ f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f6($false) ) )
                    | f5($false) ) )
                | ~ f4($false) ) )
            | ~ f4($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f6($false) ) )
                    | ~ f5($false) ) )
                | f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f6($false) ) )
                    | f5($false) ) )
                | f4($false) ) )
            | ~ f4($false) ) )
        | ~ f4($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f6($false) ) )
                    | ~ f5($false) ) )
                | ~ f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f6($false) ) )
                    | f5($false) ) )
                | ~ f4($false) ) )
            | f4($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f6($false) ) )
                    | ~ f5($false) ) )
                | f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f6($false) ) )
                    | f5($false) ) )
                | f4($false) ) )
            | f4($false) ) )
        | ~ f4($false) ) ) ),
    introduced(definition) ).

fof(c_0_107,plain,
    ( epred8_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f6($false) ) )
                    | ~ f5($false) ) )
                | ~ f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f6($false) ) )
                    | f5($false) ) )
                | ~ f4($false) ) )
            | ~ f4($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f6($false) ) )
                    | ~ f5($false) ) )
                | f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f6($false) ) )
                    | f5($false) ) )
                | f4($false) ) )
            | ~ f4($false) ) )
        | f4($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f6($false) ) )
                    | ~ f5($false) ) )
                | ~ f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f6($false) ) )
                    | f5($false) ) )
                | ~ f4($false) ) )
            | f4($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f6($false) ) )
                    | ~ f5($false) ) )
                | f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f7($true) )
                                  & ( x
                                    | ~ f7($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f7($true) )
                                  & ( x
                                    | f7($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f6($false) ) )
                    | f5($false) ) )
                | f4($false) ) )
            | f4($false) ) )
        | f4($false) ) ) ),
    introduced(definition) ).

fof(c_0_108,plain,
    ( epred27_0
  <=> ( ( ( ( epred24_0
            | ~ f3($true) )
          & ( epred25_0
            | ~ f3($false) ) )
        | f2($true) )
      & ( ( ( epred24_0
            | f3($true) )
          & ( epred25_0
            | f3($false) ) )
        | f2($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_14,c_0_55]),c_0_52]),c_0_55]),c_0_52]) ).

fof(c_0_109,plain,
    ( epred26_0
  <=> ( ( ( ( epred24_0
            | ~ f3($true) )
          & ( epred25_0
            | ~ f3($false) ) )
        | ~ f2($true) )
      & ( ( ( epred24_0
            | f3($true) )
          & ( epred25_0
            | f3($false) ) )
        | ~ f2($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_13,c_0_55]),c_0_52]),c_0_55]),c_0_52]) ).

fof(c_0_110,plain,
    ( ( epred22_0
      | ~ f3($true)
      | f3($true)
      | ~ epred25_0 )
    & ( epred23_0
      | ~ f3($false)
      | f3($true)
      | ~ epred25_0 )
    & ( epred22_0
      | f3($true)
      | f3($false)
      | ~ epred25_0 )
    & ( epred23_0
      | f3($false)
      | f3($false)
      | ~ epred25_0 )
    & ( ~ epred23_0
      | ~ epred22_0
      | ~ epred23_0
      | ~ epred22_0
      | epred25_0 )
    & ( ~ f3($false)
      | ~ epred22_0
      | ~ epred23_0
      | ~ epred22_0
      | epred25_0 )
    & ( ~ epred23_0
      | ~ f3($true)
      | ~ epred23_0
      | ~ epred22_0
      | epred25_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | ~ epred23_0
      | ~ epred22_0
      | epred25_0 )
    & ( ~ f3($false)
      | ~ epred23_0
      | ~ epred22_0
      | epred25_0 )
    & ( ~ epred23_0
      | ~ epred22_0
      | f3($false)
      | ~ epred22_0
      | epred25_0 )
    & ( ~ f3($false)
      | ~ epred22_0
      | f3($false)
      | ~ epred22_0
      | epred25_0 )
    & ( ~ epred23_0
      | ~ f3($true)
      | f3($false)
      | ~ epred22_0
      | epred25_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | f3($false)
      | ~ epred22_0
      | epred25_0 )
    & ( ~ f3($false)
      | f3($false)
      | ~ epred22_0
      | epred25_0 )
    & ( ~ epred23_0
      | ~ epred22_0
      | ~ epred23_0
      | f3($true)
      | epred25_0 )
    & ( ~ f3($false)
      | ~ epred22_0
      | ~ epred23_0
      | f3($true)
      | epred25_0 )
    & ( ~ epred23_0
      | ~ f3($true)
      | ~ epred23_0
      | f3($true)
      | epred25_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | ~ epred23_0
      | f3($true)
      | epred25_0 )
    & ( ~ f3($false)
      | ~ epred23_0
      | f3($true)
      | epred25_0 )
    & ( ~ epred23_0
      | ~ epred22_0
      | f3($false)
      | f3($true)
      | epred25_0 )
    & ( ~ f3($false)
      | ~ epred22_0
      | f3($false)
      | f3($true)
      | epred25_0 )
    & ( ~ epred23_0
      | ~ f3($true)
      | f3($false)
      | f3($true)
      | epred25_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | f3($false)
      | f3($true)
      | epred25_0 )
    & ( ~ f3($false)
      | f3($false)
      | f3($true)
      | epred25_0 )
    & ( ~ epred23_0
      | ~ epred22_0
      | ~ f3($true)
      | epred25_0 )
    & ( ~ f3($false)
      | ~ epred22_0
      | ~ f3($true)
      | epred25_0 )
    & ( ~ epred23_0
      | ~ f3($true)
      | ~ f3($true)
      | epred25_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | ~ f3($true)
      | epred25_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | epred25_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_80])])]) ).

fof(c_0_111,plain,
    ( epred21_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f7($false) ) )
                    | ~ f7($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f7($false) ) )
                    | ~ f7($false) ) )
                | ~ f6($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f7($false) ) )
                    | f7($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f7($false) ) )
                    | f7($false) ) )
                | ~ f6($false) ) )
            | ~ f5($true) )
          & ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f7($false) ) )
                    | ~ f7($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f7($false) ) )
                    | ~ f7($false) ) )
                | f6($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f7($false) ) )
                    | f7($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f7($false) ) )
                    | f7($false) ) )
                | f6($false) ) )
            | ~ f5($false) ) )
        | f5($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f7($false) ) )
                    | ~ f7($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f7($false) ) )
                    | ~ f7($false) ) )
                | ~ f6($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f7($false) ) )
                    | f7($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f7($false) ) )
                    | f7($false) ) )
                | ~ f6($false) ) )
            | f5($true) )
          & ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f7($false) ) )
                    | ~ f7($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f7($false) ) )
                    | ~ f7($false) ) )
                | f6($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f7($false) ) )
                    | f7($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f7($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f7($false) ) )
                    | f7($false) ) )
                | f6($false) ) )
            | f5($false) ) )
        | f5($false) ) ) ),
    introduced(definition) ).

fof(c_0_112,plain,
    ( epred20_0
  <=> ( ( ( ( epred18_0
            | ~ f5($true) )
          & ( epred19_0
            | ~ f5($false) ) )
        | ~ f5($true) )
      & ( ( ( epred18_0
            | f5($true) )
          & ( epred19_0
            | f5($false) ) )
        | ~ f5($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_81,c_0_15]),c_0_27]),c_0_15]),c_0_27]) ).

fof(c_0_113,plain,
    ( ( epred22_0
      | ~ f3($true)
      | ~ f3($true)
      | ~ epred24_0 )
    & ( epred23_0
      | ~ f3($false)
      | ~ f3($true)
      | ~ epred24_0 )
    & ( epred22_0
      | f3($true)
      | ~ f3($false)
      | ~ epred24_0 )
    & ( epred23_0
      | f3($false)
      | ~ f3($false)
      | ~ epred24_0 )
    & ( ~ epred23_0
      | ~ epred22_0
      | ~ epred23_0
      | ~ epred22_0
      | epred24_0 )
    & ( ~ f3($false)
      | ~ epred22_0
      | ~ epred23_0
      | ~ epred22_0
      | epred24_0 )
    & ( ~ epred23_0
      | ~ f3($true)
      | ~ epred23_0
      | ~ epred22_0
      | epred24_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | ~ epred23_0
      | ~ epred22_0
      | epred24_0 )
    & ( f3($false)
      | ~ epred23_0
      | ~ epred22_0
      | epred24_0 )
    & ( ~ epred23_0
      | ~ epred22_0
      | f3($false)
      | ~ epred22_0
      | epred24_0 )
    & ( ~ f3($false)
      | ~ epred22_0
      | f3($false)
      | ~ epred22_0
      | epred24_0 )
    & ( ~ epred23_0
      | ~ f3($true)
      | f3($false)
      | ~ epred22_0
      | epred24_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | f3($false)
      | ~ epred22_0
      | epred24_0 )
    & ( f3($false)
      | f3($false)
      | ~ epred22_0
      | epred24_0 )
    & ( ~ epred23_0
      | ~ epred22_0
      | ~ epred23_0
      | f3($true)
      | epred24_0 )
    & ( ~ f3($false)
      | ~ epred22_0
      | ~ epred23_0
      | f3($true)
      | epred24_0 )
    & ( ~ epred23_0
      | ~ f3($true)
      | ~ epred23_0
      | f3($true)
      | epred24_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | ~ epred23_0
      | f3($true)
      | epred24_0 )
    & ( f3($false)
      | ~ epred23_0
      | f3($true)
      | epred24_0 )
    & ( ~ epred23_0
      | ~ epred22_0
      | f3($false)
      | f3($true)
      | epred24_0 )
    & ( ~ f3($false)
      | ~ epred22_0
      | f3($false)
      | f3($true)
      | epred24_0 )
    & ( ~ epred23_0
      | ~ f3($true)
      | f3($false)
      | f3($true)
      | epred24_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | f3($false)
      | f3($true)
      | epred24_0 )
    & ( f3($false)
      | f3($false)
      | f3($true)
      | epred24_0 )
    & ( ~ epred23_0
      | ~ epred22_0
      | f3($true)
      | epred24_0 )
    & ( ~ f3($false)
      | ~ epred22_0
      | f3($true)
      | epred24_0 )
    & ( ~ epred23_0
      | ~ f3($true)
      | f3($true)
      | epred24_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | f3($true)
      | epred24_0 )
    & ( f3($false)
      | f3($true)
      | epred24_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_82])])]) ).

fof(c_0_114,plain,
    ( epred4_0
  <=> ( ( ( ( ( ( ( ( ~ x
                    | ~ f7($true) )
                  & ( x
                    | ~ f7($false) ) )
                | ~ f6($true) )
              & ( ( ( ~ x
                    | f7($true) )
                  & ( x
                    | f7($false) ) )
                | ~ f6($false) ) )
            | ~ f6($true) )
          & ( ( ( ( ( ~ x
                    | ~ f7($true) )
                  & ( x
                    | ~ f7($false) ) )
                | f6($true) )
              & ( ( ( ~ x
                    | f7($true) )
                  & ( x
                    | f7($false) ) )
                | f6($false) ) )
            | ~ f6($false) ) )
        | f6($true) )
      & ( ( ( ( ( ( ( ~ x
                    | ~ f7($true) )
                  & ( x
                    | ~ f7($false) ) )
                | ~ f6($true) )
              & ( ( ( ~ x
                    | f7($true) )
                  & ( x
                    | f7($false) ) )
                | ~ f6($false) ) )
            | f6($true) )
          & ( ( ( ( ( ~ x
                    | ~ f7($true) )
                  & ( x
                    | ~ f7($false) ) )
                | f6($true) )
              & ( ( ( ~ x
                    | f7($true) )
                  & ( x
                    | f7($false) ) )
                | f6($false) ) )
            | f6($false) ) )
        | f6($false) ) ) ),
    introduced(definition) ).

cnf(c_0_115,plain,
    ( epred2_0
    | ~ x
    | ~ f7($true)
    | ~ f6($true) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_116,plain,
    ( f6($false)
    | f7($true)
    | epred1_0
    | ~ x ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_117,plain,
    ( f6($false)
    | f6($true)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_118,plain,
    ( x
    | f6($true)
    | ~ f7($false)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_119,plain,
    ( f6($false)
    | f7($true)
    | epred18_0
    | ~ epred17_0 ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_120,plain,
    ( epred18_0
    | epred2_0
    | x
    | ~ epred17_0 ),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_121,plain,
    ( f6($false)
    | f6($true)
    | epred18_0 ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_122,plain,
    ( epred17_0
    | ~ f7($false)
    | ~ x ),
    inference(csr,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_123,plain,
    ( f7($false)
    | f7($true)
    | epred16_0 ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_124,plain,
    ( epred16_0
    | f7($true)
    | x ),
    inference(csr,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_125,plain,
    ( epred19_0
    | x
    | ~ epred17_0
    | ~ f6($true) ),
    inference(spm,[status(thm)],[c_0_89,c_0_58]) ).

cnf(c_0_126,plain,
    ( epred1_0
    | f6($true)
    | x
    | ~ epred17_0 ),
    inference(spm,[status(thm)],[c_0_90,c_0_39]) ).

fof(c_0_127,plain,
    ( epred11_0
  <=> ( ( ( ( epred9_0
            | ~ f2($true) )
          & ( epred10_0
            | ~ f2($false) ) )
        | ~ f2($true) )
      & ( ( ( epred9_0
            | f2($true) )
          & ( epred10_0
            | f2($false) ) )
        | ~ f2($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_5,c_0_78]),c_0_79]),c_0_78]),c_0_79]) ).

cnf(c_0_128,negated_conjecture,
    ( ~ epred30_0
    | ~ epred14_0 ),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_129,plain,
    ( epred30_0
    | epred11_0
    | ~ epred29_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]),c_0_68]) ).

cnf(c_0_130,plain,
    ( epred30_0
    | epred29_0
    | epred13_0
    | ~ epred27_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]) ).

cnf(c_0_131,plain,
    ( epred29_0
    | epred14_0
    | ~ epred27_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_99]),c_0_98]) ).

cnf(c_0_132,plain,
    ( epred11_0
    | ~ f1($true)
    | ~ f0($true)
    | ~ epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_133,plain,
    ( epred11_0
    | f1($true)
    | ~ epred14_0
    | ~ epred13_0 ),
    inference(spm,[status(thm)],[c_0_100,c_0_67]) ).

cnf(c_0_134,plain,
    ( epred26_0
    | ~ epred29_0
    | ~ epred28_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_77]) ).

cnf(c_0_135,plain,
    ( epred14_0
    | ~ epred12_0
    | ~ f1($true)
    | ~ f0($true) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_136,plain,
    ( epred28_0
    | f0($true)
    | ~ f1($true)
    | ~ epred30_0 ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_137,plain,
    ( epred28_0
    | epred14_0
    | f1($true)
    | ~ epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_68]) ).

fof(c_0_138,plain,
    ( ( epred9_0
      | ~ f2($true)
      | f2($true)
      | ~ epred12_0 )
    & ( epred10_0
      | ~ f2($false)
      | f2($true)
      | ~ epred12_0 )
    & ( epred9_0
      | f2($true)
      | f2($false)
      | ~ epred12_0 )
    & ( epred10_0
      | f2($false)
      | f2($false)
      | ~ epred12_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | ~ epred10_0
      | ~ epred9_0
      | epred12_0 )
    & ( ~ f2($false)
      | ~ epred9_0
      | ~ epred10_0
      | ~ epred9_0
      | epred12_0 )
    & ( ~ epred10_0
      | ~ f2($true)
      | ~ epred10_0
      | ~ epred9_0
      | epred12_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred10_0
      | ~ epred9_0
      | epred12_0 )
    & ( ~ f2($false)
      | ~ epred10_0
      | ~ epred9_0
      | epred12_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | f2($false)
      | ~ epred9_0
      | epred12_0 )
    & ( ~ f2($false)
      | ~ epred9_0
      | f2($false)
      | ~ epred9_0
      | epred12_0 )
    & ( ~ epred10_0
      | ~ f2($true)
      | f2($false)
      | ~ epred9_0
      | epred12_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | ~ epred9_0
      | epred12_0 )
    & ( ~ f2($false)
      | f2($false)
      | ~ epred9_0
      | epred12_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | ~ epred10_0
      | f2($true)
      | epred12_0 )
    & ( ~ f2($false)
      | ~ epred9_0
      | ~ epred10_0
      | f2($true)
      | epred12_0 )
    & ( ~ epred10_0
      | ~ f2($true)
      | ~ epred10_0
      | f2($true)
      | epred12_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred10_0
      | f2($true)
      | epred12_0 )
    & ( ~ f2($false)
      | ~ epred10_0
      | f2($true)
      | epred12_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | f2($false)
      | f2($true)
      | epred12_0 )
    & ( ~ f2($false)
      | ~ epred9_0
      | f2($false)
      | f2($true)
      | epred12_0 )
    & ( ~ epred10_0
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred12_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred12_0 )
    & ( ~ f2($false)
      | f2($false)
      | f2($true)
      | epred12_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | ~ f2($true)
      | epred12_0 )
    & ( ~ f2($false)
      | ~ epred9_0
      | ~ f2($true)
      | epred12_0 )
    & ( ~ epred10_0
      | ~ f2($true)
      | ~ f2($true)
      | epred12_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ f2($true)
      | epred12_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | epred12_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_105])])]) ).

fof(c_0_139,plain,
    ( epred9_0
  <=> ( ( ( ( epred7_0
            | ~ f3($true) )
          & ( epred8_0
            | ~ f3($false) ) )
        | ~ f2($true) )
      & ( ( ( epred7_0
            | f3($true) )
          & ( epred8_0
            | f3($false) ) )
        | ~ f2($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_78,c_0_106]),c_0_107]),c_0_106]),c_0_107]) ).

fof(c_0_140,plain,
    ( ( epred24_0
      | ~ f3($true)
      | f2($true)
      | ~ epred27_0 )
    & ( epred25_0
      | ~ f3($false)
      | f2($true)
      | ~ epred27_0 )
    & ( epred24_0
      | f3($true)
      | f2($false)
      | ~ epred27_0 )
    & ( epred25_0
      | f3($false)
      | f2($false)
      | ~ epred27_0 )
    & ( ~ epred25_0
      | ~ epred24_0
      | ~ epred25_0
      | ~ epred24_0
      | epred27_0 )
    & ( ~ f3($false)
      | ~ epred24_0
      | ~ epred25_0
      | ~ epred24_0
      | epred27_0 )
    & ( ~ epred25_0
      | ~ f3($true)
      | ~ epred25_0
      | ~ epred24_0
      | epred27_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | ~ epred25_0
      | ~ epred24_0
      | epred27_0 )
    & ( ~ f2($false)
      | ~ epred25_0
      | ~ epred24_0
      | epred27_0 )
    & ( ~ epred25_0
      | ~ epred24_0
      | f3($false)
      | ~ epred24_0
      | epred27_0 )
    & ( ~ f3($false)
      | ~ epred24_0
      | f3($false)
      | ~ epred24_0
      | epred27_0 )
    & ( ~ epred25_0
      | ~ f3($true)
      | f3($false)
      | ~ epred24_0
      | epred27_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | f3($false)
      | ~ epred24_0
      | epred27_0 )
    & ( ~ f2($false)
      | f3($false)
      | ~ epred24_0
      | epred27_0 )
    & ( ~ epred25_0
      | ~ epred24_0
      | ~ epred25_0
      | f3($true)
      | epred27_0 )
    & ( ~ f3($false)
      | ~ epred24_0
      | ~ epred25_0
      | f3($true)
      | epred27_0 )
    & ( ~ epred25_0
      | ~ f3($true)
      | ~ epred25_0
      | f3($true)
      | epred27_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | ~ epred25_0
      | f3($true)
      | epred27_0 )
    & ( ~ f2($false)
      | ~ epred25_0
      | f3($true)
      | epred27_0 )
    & ( ~ epred25_0
      | ~ epred24_0
      | f3($false)
      | f3($true)
      | epred27_0 )
    & ( ~ f3($false)
      | ~ epred24_0
      | f3($false)
      | f3($true)
      | epred27_0 )
    & ( ~ epred25_0
      | ~ f3($true)
      | f3($false)
      | f3($true)
      | epred27_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | f3($false)
      | f3($true)
      | epred27_0 )
    & ( ~ f2($false)
      | f3($false)
      | f3($true)
      | epred27_0 )
    & ( ~ epred25_0
      | ~ epred24_0
      | ~ f2($true)
      | epred27_0 )
    & ( ~ f3($false)
      | ~ epred24_0
      | ~ f2($true)
      | epred27_0 )
    & ( ~ epred25_0
      | ~ f3($true)
      | ~ f2($true)
      | epred27_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | ~ f2($true)
      | epred27_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | epred27_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_108])])]) ).

fof(c_0_141,plain,
    ( ( epred24_0
      | ~ f3($true)
      | ~ f2($true)
      | ~ epred26_0 )
    & ( epred25_0
      | ~ f3($false)
      | ~ f2($true)
      | ~ epred26_0 )
    & ( epred24_0
      | f3($true)
      | ~ f2($false)
      | ~ epred26_0 )
    & ( epred25_0
      | f3($false)
      | ~ f2($false)
      | ~ epred26_0 )
    & ( ~ epred25_0
      | ~ epred24_0
      | ~ epred25_0
      | ~ epred24_0
      | epred26_0 )
    & ( ~ f3($false)
      | ~ epred24_0
      | ~ epred25_0
      | ~ epred24_0
      | epred26_0 )
    & ( ~ epred25_0
      | ~ f3($true)
      | ~ epred25_0
      | ~ epred24_0
      | epred26_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | ~ epred25_0
      | ~ epred24_0
      | epred26_0 )
    & ( f2($false)
      | ~ epred25_0
      | ~ epred24_0
      | epred26_0 )
    & ( ~ epred25_0
      | ~ epred24_0
      | f3($false)
      | ~ epred24_0
      | epred26_0 )
    & ( ~ f3($false)
      | ~ epred24_0
      | f3($false)
      | ~ epred24_0
      | epred26_0 )
    & ( ~ epred25_0
      | ~ f3($true)
      | f3($false)
      | ~ epred24_0
      | epred26_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | f3($false)
      | ~ epred24_0
      | epred26_0 )
    & ( f2($false)
      | f3($false)
      | ~ epred24_0
      | epred26_0 )
    & ( ~ epred25_0
      | ~ epred24_0
      | ~ epred25_0
      | f3($true)
      | epred26_0 )
    & ( ~ f3($false)
      | ~ epred24_0
      | ~ epred25_0
      | f3($true)
      | epred26_0 )
    & ( ~ epred25_0
      | ~ f3($true)
      | ~ epred25_0
      | f3($true)
      | epred26_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | ~ epred25_0
      | f3($true)
      | epred26_0 )
    & ( f2($false)
      | ~ epred25_0
      | f3($true)
      | epred26_0 )
    & ( ~ epred25_0
      | ~ epred24_0
      | f3($false)
      | f3($true)
      | epred26_0 )
    & ( ~ f3($false)
      | ~ epred24_0
      | f3($false)
      | f3($true)
      | epred26_0 )
    & ( ~ epred25_0
      | ~ f3($true)
      | f3($false)
      | f3($true)
      | epred26_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | f3($false)
      | f3($true)
      | epred26_0 )
    & ( f2($false)
      | f3($false)
      | f3($true)
      | epred26_0 )
    & ( ~ epred25_0
      | ~ epred24_0
      | f2($true)
      | epred26_0 )
    & ( ~ f3($false)
      | ~ epred24_0
      | f2($true)
      | epred26_0 )
    & ( ~ epred25_0
      | ~ f3($true)
      | f2($true)
      | epred26_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | f2($true)
      | epred26_0 )
    & ( f2($false)
      | f2($true)
      | epred26_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_109])])]) ).

cnf(c_0_142,plain,
    ( epred25_0
    | ~ epred23_0
    | ~ f3($true)
    | ~ f3($true) ),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

fof(c_0_143,plain,
    ( epred23_0
  <=> ( ( ( ( epred20_0
            | ~ f5($true) )
          & ( epred21_0
            | ~ f5($false) ) )
        | f4($true) )
      & ( ( ( epred20_0
            | f5($true) )
          & ( epred21_0
            | f5($false) ) )
        | f4($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_54,c_0_81]),c_0_111]),c_0_81]),c_0_111]) ).

fof(c_0_144,plain,
    ( epred22_0
  <=> ( ( ( ( epred20_0
            | ~ f5($true) )
          & ( epred21_0
            | ~ f5($false) ) )
        | ~ f4($true) )
      & ( ( ( epred20_0
            | f5($true) )
          & ( epred21_0
            | f5($false) ) )
        | ~ f4($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_53,c_0_81]),c_0_111]),c_0_81]),c_0_111]) ).

fof(c_0_145,plain,
    ( ( epred18_0
      | ~ f5($true)
      | ~ f5($true)
      | ~ epred20_0 )
    & ( epred19_0
      | ~ f5($false)
      | ~ f5($true)
      | ~ epred20_0 )
    & ( epred18_0
      | f5($true)
      | ~ f5($false)
      | ~ epred20_0 )
    & ( epred19_0
      | f5($false)
      | ~ f5($false)
      | ~ epred20_0 )
    & ( ~ epred19_0
      | ~ epred18_0
      | ~ epred19_0
      | ~ epred18_0
      | epred20_0 )
    & ( ~ f5($false)
      | ~ epred18_0
      | ~ epred19_0
      | ~ epred18_0
      | epred20_0 )
    & ( ~ epred19_0
      | ~ f5($true)
      | ~ epred19_0
      | ~ epred18_0
      | epred20_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | ~ epred19_0
      | ~ epred18_0
      | epred20_0 )
    & ( f5($false)
      | ~ epred19_0
      | ~ epred18_0
      | epred20_0 )
    & ( ~ epred19_0
      | ~ epred18_0
      | f5($false)
      | ~ epred18_0
      | epred20_0 )
    & ( ~ f5($false)
      | ~ epred18_0
      | f5($false)
      | ~ epred18_0
      | epred20_0 )
    & ( ~ epred19_0
      | ~ f5($true)
      | f5($false)
      | ~ epred18_0
      | epred20_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | f5($false)
      | ~ epred18_0
      | epred20_0 )
    & ( f5($false)
      | f5($false)
      | ~ epred18_0
      | epred20_0 )
    & ( ~ epred19_0
      | ~ epred18_0
      | ~ epred19_0
      | f5($true)
      | epred20_0 )
    & ( ~ f5($false)
      | ~ epred18_0
      | ~ epred19_0
      | f5($true)
      | epred20_0 )
    & ( ~ epred19_0
      | ~ f5($true)
      | ~ epred19_0
      | f5($true)
      | epred20_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | ~ epred19_0
      | f5($true)
      | epred20_0 )
    & ( f5($false)
      | ~ epred19_0
      | f5($true)
      | epred20_0 )
    & ( ~ epred19_0
      | ~ epred18_0
      | f5($false)
      | f5($true)
      | epred20_0 )
    & ( ~ f5($false)
      | ~ epred18_0
      | f5($false)
      | f5($true)
      | epred20_0 )
    & ( ~ epred19_0
      | ~ f5($true)
      | f5($false)
      | f5($true)
      | epred20_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | f5($false)
      | f5($true)
      | epred20_0 )
    & ( f5($false)
      | f5($false)
      | f5($true)
      | epred20_0 )
    & ( ~ epred19_0
      | ~ epred18_0
      | f5($true)
      | epred20_0 )
    & ( ~ f5($false)
      | ~ epred18_0
      | f5($true)
      | epred20_0 )
    & ( ~ epred19_0
      | ~ f5($true)
      | f5($true)
      | epred20_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | f5($true)
      | epred20_0 )
    & ( f5($false)
      | f5($true)
      | epred20_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_112])])]) ).

cnf(c_0_146,plain,
    ( f3($false)
    | f3($false)
    | epred24_0
    | ~ epred22_0 ),
    inference(split_conjunct,[status(thm)],[c_0_113]) ).

fof(c_0_147,plain,
    ( epred3_0
  <=> ( ( ( ( ( ( ( ( ~ x
                    | ~ f7($true) )
                  & ( x
                    | ~ f7($false) ) )
                | ~ f6($true) )
              & ( ( ( ~ x
                    | f7($true) )
                  & ( x
                    | f7($false) ) )
                | ~ f6($false) ) )
            | ~ f6($true) )
          & ( ( ( ( ( ~ x
                    | ~ f7($true) )
                  & ( x
                    | ~ f7($false) ) )
                | f6($true) )
              & ( ( ( ~ x
                    | f7($true) )
                  & ( x
                    | f7($false) ) )
                | f6($false) ) )
            | ~ f6($false) ) )
        | ~ f6($true) )
      & ( ( ( ( ( ( ( ~ x
                    | ~ f7($true) )
                  & ( x
                    | ~ f7($false) ) )
                | ~ f6($true) )
              & ( ( ( ~ x
                    | f7($true) )
                  & ( x
                    | f7($false) ) )
                | ~ f6($false) ) )
            | f6($true) )
          & ( ( ( ( ( ~ x
                    | ~ f7($true) )
                  & ( x
                    | ~ f7($false) ) )
                | f6($true) )
              & ( ( ( ~ x
                    | f7($true) )
                  & ( x
                    | f7($false) ) )
                | f6($false) ) )
            | f6($false) ) )
        | ~ f6($false) ) ) ),
    introduced(definition) ).

fof(c_0_148,plain,
    ( epred4_0
  <=> ( ( ( ( epred1_0
            | ~ f6($true) )
          & ( epred2_0
            | ~ f6($false) ) )
        | f6($true) )
      & ( ( ( epred1_0
            | f6($true) )
          & ( epred2_0
            | f6($false) ) )
        | f6($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_114,c_0_42]),c_0_24]),c_0_42]),c_0_24]) ).

cnf(c_0_149,plain,
    ( epred2_0
    | ~ f6($false)
    | ~ f6($true) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_150,plain,
    ( epred2_0
    | epred1_0
    | f6($false)
    | ~ x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117]) ).

fof(c_0_151,plain,
    ( epred5_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | ~ f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f6($false) ) )
                    | ~ f6($false) ) )
                | ~ f6($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f6($false) ) )
                    | f6($false) ) )
                | ~ f6($false) ) )
            | ~ f5($true) )
          & ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | ~ f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f6($false) ) )
                    | ~ f6($false) ) )
                | f6($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f6($false) ) )
                    | f6($false) ) )
                | f6($false) ) )
            | ~ f5($false) ) )
        | ~ f4($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | ~ f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f6($false) ) )
                    | ~ f6($false) ) )
                | ~ f6($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f6($false) ) )
                    | f6($false) ) )
                | ~ f6($false) ) )
            | f5($true) )
          & ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | ~ f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f6($false) ) )
                    | ~ f6($false) ) )
                | f6($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f6($false) ) )
                    | f6($false) ) )
                | f6($false) ) )
            | f5($false) ) )
        | ~ f4($false) ) ) ),
    introduced(definition) ).

fof(c_0_152,plain,
    ( epred6_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | ~ f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f6($false) ) )
                    | ~ f6($false) ) )
                | ~ f6($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f6($false) ) )
                    | f6($false) ) )
                | ~ f6($false) ) )
            | ~ f5($true) )
          & ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | ~ f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f6($false) ) )
                    | ~ f6($false) ) )
                | f6($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f6($false) ) )
                    | f6($false) ) )
                | f6($false) ) )
            | ~ f5($false) ) )
        | f4($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | ~ f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f6($false) ) )
                    | ~ f6($false) ) )
                | ~ f6($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f6($false) ) )
                    | f6($false) ) )
                | ~ f6($false) ) )
            | f5($true) )
          & ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | ~ f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f6($false) ) )
                    | ~ f6($false) ) )
                | f6($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | ~ f6($false) ) )
                    | f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f7($true) )
                          & ( x
                            | ~ f7($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f7($true) )
                          & ( x
                            | f7($false) ) )
                        | f6($false) ) )
                    | f6($false) ) )
                | f6($false) ) )
            | f5($false) ) )
        | f4($false) ) ) ),
    introduced(definition) ).

fof(c_0_153,plain,
    ( epred21_0
  <=> ( ( ( ( epred18_0
            | ~ f5($true) )
          & ( epred19_0
            | ~ f5($false) ) )
        | f5($true) )
      & ( ( ( epred18_0
            | f5($true) )
          & ( epred19_0
            | f5($false) ) )
        | f5($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_111,c_0_15]),c_0_27]),c_0_15]),c_0_27]) ).

cnf(c_0_154,plain,
    ( f6($true)
    | ~ x
    | ~ f7($true)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_155,plain,
    ( f7($true)
    | f6($false)
    | ~ x
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_156,plain,
    ( f6($true)
    | x
    | ~ epred17_0
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_118,c_0_39]) ).

cnf(c_0_157,plain,
    ( epred18_0
    | epred2_0
    | f6($false)
    | ~ epred17_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_119]),c_0_120]),c_0_121]) ).

cnf(c_0_158,plain,
    ( epred17_0
    | epred16_0
    | f7($true) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]) ).

cnf(c_0_159,plain,
    ( epred19_0
    | epred1_0
    | x
    | ~ epred17_0 ),
    inference(spm,[status(thm)],[c_0_125,c_0_126]) ).

fof(c_0_160,plain,
    ( ( epred9_0
      | ~ f2($true)
      | ~ f2($true)
      | ~ epred11_0 )
    & ( epred10_0
      | ~ f2($false)
      | ~ f2($true)
      | ~ epred11_0 )
    & ( epred9_0
      | f2($true)
      | ~ f2($false)
      | ~ epred11_0 )
    & ( epred10_0
      | f2($false)
      | ~ f2($false)
      | ~ epred11_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | ~ epred10_0
      | ~ epred9_0
      | epred11_0 )
    & ( ~ f2($false)
      | ~ epred9_0
      | ~ epred10_0
      | ~ epred9_0
      | epred11_0 )
    & ( ~ epred10_0
      | ~ f2($true)
      | ~ epred10_0
      | ~ epred9_0
      | epred11_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred10_0
      | ~ epred9_0
      | epred11_0 )
    & ( f2($false)
      | ~ epred10_0
      | ~ epred9_0
      | epred11_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | f2($false)
      | ~ epred9_0
      | epred11_0 )
    & ( ~ f2($false)
      | ~ epred9_0
      | f2($false)
      | ~ epred9_0
      | epred11_0 )
    & ( ~ epred10_0
      | ~ f2($true)
      | f2($false)
      | ~ epred9_0
      | epred11_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | ~ epred9_0
      | epred11_0 )
    & ( f2($false)
      | f2($false)
      | ~ epred9_0
      | epred11_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | ~ epred10_0
      | f2($true)
      | epred11_0 )
    & ( ~ f2($false)
      | ~ epred9_0
      | ~ epred10_0
      | f2($true)
      | epred11_0 )
    & ( ~ epred10_0
      | ~ f2($true)
      | ~ epred10_0
      | f2($true)
      | epred11_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred10_0
      | f2($true)
      | epred11_0 )
    & ( f2($false)
      | ~ epred10_0
      | f2($true)
      | epred11_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | f2($false)
      | f2($true)
      | epred11_0 )
    & ( ~ f2($false)
      | ~ epred9_0
      | f2($false)
      | f2($true)
      | epred11_0 )
    & ( ~ epred10_0
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred11_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred11_0 )
    & ( f2($false)
      | f2($false)
      | f2($true)
      | epred11_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | f2($true)
      | epred11_0 )
    & ( ~ f2($false)
      | ~ epred9_0
      | f2($true)
      | epred11_0 )
    & ( ~ epred10_0
      | ~ f2($true)
      | f2($true)
      | epred11_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($true)
      | epred11_0 )
    & ( f2($false)
      | f2($true)
      | epred11_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_127])])]) ).

cnf(c_0_161,negated_conjecture,
    ( epred11_0
    | ~ epred29_0
    | ~ epred14_0 ),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_162,negated_conjecture,
    ( epred29_0
    | epred13_0
    | ~ epred27_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_130]),c_0_131]) ).

cnf(c_0_163,plain,
    ( epred11_0
    | ~ epred14_0
    | ~ epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_94]),c_0_133]) ).

cnf(c_0_164,plain,
    ( epred26_0
    | epred14_0
    | ~ epred28_0
    | ~ epred27_0 ),
    inference(spm,[status(thm)],[c_0_134,c_0_131]) ).

cnf(c_0_165,plain,
    ( epred28_0
    | epred14_0
    | ~ epred12_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137]),c_0_68]) ).

cnf(c_0_166,plain,
    ( f2($true)
    | epred12_0
    | ~ f2($false)
    | ~ epred10_0 ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_167,plain,
    ( epred12_0
    | ~ f2($false)
    | ~ f2($true) ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

fof(c_0_168,plain,
    ( ( epred7_0
      | ~ f3($true)
      | ~ f2($true)
      | ~ epred9_0 )
    & ( epred8_0
      | ~ f3($false)
      | ~ f2($true)
      | ~ epred9_0 )
    & ( epred7_0
      | f3($true)
      | ~ f2($false)
      | ~ epred9_0 )
    & ( epred8_0
      | f3($false)
      | ~ f2($false)
      | ~ epred9_0 )
    & ( ~ epred8_0
      | ~ epred7_0
      | ~ epred8_0
      | ~ epred7_0
      | epred9_0 )
    & ( ~ f3($false)
      | ~ epred7_0
      | ~ epred8_0
      | ~ epred7_0
      | epred9_0 )
    & ( ~ epred8_0
      | ~ f3($true)
      | ~ epred8_0
      | ~ epred7_0
      | epred9_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | ~ epred8_0
      | ~ epred7_0
      | epred9_0 )
    & ( f2($false)
      | ~ epred8_0
      | ~ epred7_0
      | epred9_0 )
    & ( ~ epred8_0
      | ~ epred7_0
      | f3($false)
      | ~ epred7_0
      | epred9_0 )
    & ( ~ f3($false)
      | ~ epred7_0
      | f3($false)
      | ~ epred7_0
      | epred9_0 )
    & ( ~ epred8_0
      | ~ f3($true)
      | f3($false)
      | ~ epred7_0
      | epred9_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | f3($false)
      | ~ epred7_0
      | epred9_0 )
    & ( f2($false)
      | f3($false)
      | ~ epred7_0
      | epred9_0 )
    & ( ~ epred8_0
      | ~ epred7_0
      | ~ epred8_0
      | f3($true)
      | epred9_0 )
    & ( ~ f3($false)
      | ~ epred7_0
      | ~ epred8_0
      | f3($true)
      | epred9_0 )
    & ( ~ epred8_0
      | ~ f3($true)
      | ~ epred8_0
      | f3($true)
      | epred9_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | ~ epred8_0
      | f3($true)
      | epred9_0 )
    & ( f2($false)
      | ~ epred8_0
      | f3($true)
      | epred9_0 )
    & ( ~ epred8_0
      | ~ epred7_0
      | f3($false)
      | f3($true)
      | epred9_0 )
    & ( ~ f3($false)
      | ~ epred7_0
      | f3($false)
      | f3($true)
      | epred9_0 )
    & ( ~ epred8_0
      | ~ f3($true)
      | f3($false)
      | f3($true)
      | epred9_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | f3($false)
      | f3($true)
      | epred9_0 )
    & ( f2($false)
      | f3($false)
      | f3($true)
      | epred9_0 )
    & ( ~ epred8_0
      | ~ epred7_0
      | f2($true)
      | epred9_0 )
    & ( ~ f3($false)
      | ~ epred7_0
      | f2($true)
      | epred9_0 )
    & ( ~ epred8_0
      | ~ f3($true)
      | f2($true)
      | epred9_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | f2($true)
      | epred9_0 )
    & ( f2($false)
      | f2($true)
      | epred9_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_139])])]) ).

cnf(c_0_169,plain,
    ( epred12_0
    | ~ epred10_0
    | ~ f2($true)
    | ~ f2($true) ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_170,plain,
    ( epred12_0
    | ~ epred10_0
    | ~ epred9_0
    | ~ epred10_0
    | ~ epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_171,plain,
    ( epred22_0
    | ~ f3($true)
    | ~ f3($true)
    | ~ epred24_0 ),
    inference(split_conjunct,[status(thm)],[c_0_113]) ).

cnf(c_0_172,plain,
    ( epred27_0
    | ~ epred25_0
    | ~ f3($true)
    | ~ f2($true) ),
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

cnf(c_0_173,plain,
    ( f2($true)
    | epred26_0
    | ~ epred25_0
    | ~ f3($true) ),
    inference(split_conjunct,[status(thm)],[c_0_141]) ).

cnf(c_0_174,plain,
    ( f3($true)
    | epred25_0
    | ~ f3($false)
    | ~ epred23_0 ),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_175,plain,
    ( epred25_0
    | ~ epred23_0
    | ~ f3($true) ),
    inference(cn,[status(thm)],[c_0_142]) ).

fof(c_0_176,plain,
    ( ( epred20_0
      | ~ f5($true)
      | f4($true)
      | ~ epred23_0 )
    & ( epred21_0
      | ~ f5($false)
      | f4($true)
      | ~ epred23_0 )
    & ( epred20_0
      | f5($true)
      | f4($false)
      | ~ epred23_0 )
    & ( epred21_0
      | f5($false)
      | f4($false)
      | ~ epred23_0 )
    & ( ~ epred21_0
      | ~ epred20_0
      | ~ epred21_0
      | ~ epred20_0
      | epred23_0 )
    & ( ~ f5($false)
      | ~ epred20_0
      | ~ epred21_0
      | ~ epred20_0
      | epred23_0 )
    & ( ~ epred21_0
      | ~ f5($true)
      | ~ epred21_0
      | ~ epred20_0
      | epred23_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | ~ epred21_0
      | ~ epred20_0
      | epred23_0 )
    & ( ~ f4($false)
      | ~ epred21_0
      | ~ epred20_0
      | epred23_0 )
    & ( ~ epred21_0
      | ~ epred20_0
      | f5($false)
      | ~ epred20_0
      | epred23_0 )
    & ( ~ f5($false)
      | ~ epred20_0
      | f5($false)
      | ~ epred20_0
      | epred23_0 )
    & ( ~ epred21_0
      | ~ f5($true)
      | f5($false)
      | ~ epred20_0
      | epred23_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | f5($false)
      | ~ epred20_0
      | epred23_0 )
    & ( ~ f4($false)
      | f5($false)
      | ~ epred20_0
      | epred23_0 )
    & ( ~ epred21_0
      | ~ epred20_0
      | ~ epred21_0
      | f5($true)
      | epred23_0 )
    & ( ~ f5($false)
      | ~ epred20_0
      | ~ epred21_0
      | f5($true)
      | epred23_0 )
    & ( ~ epred21_0
      | ~ f5($true)
      | ~ epred21_0
      | f5($true)
      | epred23_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | ~ epred21_0
      | f5($true)
      | epred23_0 )
    & ( ~ f4($false)
      | ~ epred21_0
      | f5($true)
      | epred23_0 )
    & ( ~ epred21_0
      | ~ epred20_0
      | f5($false)
      | f5($true)
      | epred23_0 )
    & ( ~ f5($false)
      | ~ epred20_0
      | f5($false)
      | f5($true)
      | epred23_0 )
    & ( ~ epred21_0
      | ~ f5($true)
      | f5($false)
      | f5($true)
      | epred23_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | f5($false)
      | f5($true)
      | epred23_0 )
    & ( ~ f4($false)
      | f5($false)
      | f5($true)
      | epred23_0 )
    & ( ~ epred21_0
      | ~ epred20_0
      | ~ f4($true)
      | epred23_0 )
    & ( ~ f5($false)
      | ~ epred20_0
      | ~ f4($true)
      | epred23_0 )
    & ( ~ epred21_0
      | ~ f5($true)
      | ~ f4($true)
      | epred23_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | ~ f4($true)
      | epred23_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | epred23_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_143])])]) ).

fof(c_0_177,plain,
    ( ( epred20_0
      | ~ f5($true)
      | ~ f4($true)
      | ~ epred22_0 )
    & ( epred21_0
      | ~ f5($false)
      | ~ f4($true)
      | ~ epred22_0 )
    & ( epred20_0
      | f5($true)
      | ~ f4($false)
      | ~ epred22_0 )
    & ( epred21_0
      | f5($false)
      | ~ f4($false)
      | ~ epred22_0 )
    & ( ~ epred21_0
      | ~ epred20_0
      | ~ epred21_0
      | ~ epred20_0
      | epred22_0 )
    & ( ~ f5($false)
      | ~ epred20_0
      | ~ epred21_0
      | ~ epred20_0
      | epred22_0 )
    & ( ~ epred21_0
      | ~ f5($true)
      | ~ epred21_0
      | ~ epred20_0
      | epred22_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | ~ epred21_0
      | ~ epred20_0
      | epred22_0 )
    & ( f4($false)
      | ~ epred21_0
      | ~ epred20_0
      | epred22_0 )
    & ( ~ epred21_0
      | ~ epred20_0
      | f5($false)
      | ~ epred20_0
      | epred22_0 )
    & ( ~ f5($false)
      | ~ epred20_0
      | f5($false)
      | ~ epred20_0
      | epred22_0 )
    & ( ~ epred21_0
      | ~ f5($true)
      | f5($false)
      | ~ epred20_0
      | epred22_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | f5($false)
      | ~ epred20_0
      | epred22_0 )
    & ( f4($false)
      | f5($false)
      | ~ epred20_0
      | epred22_0 )
    & ( ~ epred21_0
      | ~ epred20_0
      | ~ epred21_0
      | f5($true)
      | epred22_0 )
    & ( ~ f5($false)
      | ~ epred20_0
      | ~ epred21_0
      | f5($true)
      | epred22_0 )
    & ( ~ epred21_0
      | ~ f5($true)
      | ~ epred21_0
      | f5($true)
      | epred22_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | ~ epred21_0
      | f5($true)
      | epred22_0 )
    & ( f4($false)
      | ~ epred21_0
      | f5($true)
      | epred22_0 )
    & ( ~ epred21_0
      | ~ epred20_0
      | f5($false)
      | f5($true)
      | epred22_0 )
    & ( ~ f5($false)
      | ~ epred20_0
      | f5($false)
      | f5($true)
      | epred22_0 )
    & ( ~ epred21_0
      | ~ f5($true)
      | f5($false)
      | f5($true)
      | epred22_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | f5($false)
      | f5($true)
      | epred22_0 )
    & ( f4($false)
      | f5($false)
      | f5($true)
      | epred22_0 )
    & ( ~ epred21_0
      | ~ epred20_0
      | f4($true)
      | epred22_0 )
    & ( ~ f5($false)
      | ~ epred20_0
      | f4($true)
      | epred22_0 )
    & ( ~ epred21_0
      | ~ f5($true)
      | f4($true)
      | epred22_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | f4($true)
      | epred22_0 )
    & ( f4($false)
      | f4($true)
      | epred22_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_144])])]) ).

cnf(c_0_178,plain,
    ( f5($false)
    | f5($false)
    | epred20_0
    | ~ epred18_0 ),
    inference(split_conjunct,[status(thm)],[c_0_145]) ).

cnf(c_0_179,plain,
    ( f3($true)
    | epred24_0
    | ~ f3($false)
    | ~ epred22_0 ),
    inference(split_conjunct,[status(thm)],[c_0_113]) ).

cnf(c_0_180,plain,
    ( epred24_0
    | f3($false)
    | ~ epred22_0 ),
    inference(cn,[status(thm)],[c_0_146]) ).

fof(c_0_181,plain,
    ( epred3_0
  <=> ( ( ( ( epred1_0
            | ~ f6($true) )
          & ( epred2_0
            | ~ f6($false) ) )
        | ~ f6($true) )
      & ( ( ( epred1_0
            | f6($true) )
          & ( epred2_0
            | f6($false) ) )
        | ~ f6($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_147,c_0_42]),c_0_24]),c_0_42]),c_0_24]) ).

fof(c_0_182,plain,
    ( ( epred1_0
      | ~ f6($true)
      | f6($true)
      | ~ epred4_0 )
    & ( epred2_0
      | ~ f6($false)
      | f6($true)
      | ~ epred4_0 )
    & ( epred1_0
      | f6($true)
      | f6($false)
      | ~ epred4_0 )
    & ( epred2_0
      | f6($false)
      | f6($false)
      | ~ epred4_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | ~ epred2_0
      | ~ epred1_0
      | epred4_0 )
    & ( ~ f6($false)
      | ~ epred1_0
      | ~ epred2_0
      | ~ epred1_0
      | epred4_0 )
    & ( ~ epred2_0
      | ~ f6($true)
      | ~ epred2_0
      | ~ epred1_0
      | epred4_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | ~ epred2_0
      | ~ epred1_0
      | epred4_0 )
    & ( ~ f6($false)
      | ~ epred2_0
      | ~ epred1_0
      | epred4_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | f6($false)
      | ~ epred1_0
      | epred4_0 )
    & ( ~ f6($false)
      | ~ epred1_0
      | f6($false)
      | ~ epred1_0
      | epred4_0 )
    & ( ~ epred2_0
      | ~ f6($true)
      | f6($false)
      | ~ epred1_0
      | epred4_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | f6($false)
      | ~ epred1_0
      | epred4_0 )
    & ( ~ f6($false)
      | f6($false)
      | ~ epred1_0
      | epred4_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | ~ epred2_0
      | f6($true)
      | epred4_0 )
    & ( ~ f6($false)
      | ~ epred1_0
      | ~ epred2_0
      | f6($true)
      | epred4_0 )
    & ( ~ epred2_0
      | ~ f6($true)
      | ~ epred2_0
      | f6($true)
      | epred4_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | ~ epred2_0
      | f6($true)
      | epred4_0 )
    & ( ~ f6($false)
      | ~ epred2_0
      | f6($true)
      | epred4_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | f6($false)
      | f6($true)
      | epred4_0 )
    & ( ~ f6($false)
      | ~ epred1_0
      | f6($false)
      | f6($true)
      | epred4_0 )
    & ( ~ epred2_0
      | ~ f6($true)
      | f6($false)
      | f6($true)
      | epred4_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | f6($false)
      | f6($true)
      | epred4_0 )
    & ( ~ f6($false)
      | f6($false)
      | f6($true)
      | epred4_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | ~ f6($true)
      | epred4_0 )
    & ( ~ f6($false)
      | ~ epred1_0
      | ~ f6($true)
      | epred4_0 )
    & ( ~ epred2_0
      | ~ f6($true)
      | ~ f6($true)
      | epred4_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | ~ f6($true)
      | epred4_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | epred4_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_148])])]) ).

cnf(c_0_183,plain,
    ( f6($true)
    | epred1_0
    | ~ x
    | ~ f7($true) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_184,plain,
    ( f7($true)
    | epred2_0
    | ~ f6($false)
    | ~ x ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_185,plain,
    ( epred2_0
    | epred1_0
    | ~ f6($true)
    | ~ x ),
    inference(spm,[status(thm)],[c_0_149,c_0_150]) ).

cnf(c_0_186,plain,
    ( epred17_0
    | f7($false)
    | ~ f6($false)
    | ~ epred18_0 ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

fof(c_0_187,plain,
    ( epred7_0
  <=> ( ( ( ( epred5_0
            | ~ f4($true) )
          & ( epred6_0
            | ~ f4($false) ) )
        | ~ f4($true) )
      & ( ( ( epred5_0
            | f4($true) )
          & ( epred6_0
            | f4($false) ) )
        | ~ f4($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_106,c_0_151]),c_0_152]),c_0_151]),c_0_152]) ).

fof(c_0_188,plain,
    ( ( epred18_0
      | ~ f5($true)
      | f5($true)
      | ~ epred21_0 )
    & ( epred19_0
      | ~ f5($false)
      | f5($true)
      | ~ epred21_0 )
    & ( epred18_0
      | f5($true)
      | f5($false)
      | ~ epred21_0 )
    & ( epred19_0
      | f5($false)
      | f5($false)
      | ~ epred21_0 )
    & ( ~ epred19_0
      | ~ epred18_0
      | ~ epred19_0
      | ~ epred18_0
      | epred21_0 )
    & ( ~ f5($false)
      | ~ epred18_0
      | ~ epred19_0
      | ~ epred18_0
      | epred21_0 )
    & ( ~ epred19_0
      | ~ f5($true)
      | ~ epred19_0
      | ~ epred18_0
      | epred21_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | ~ epred19_0
      | ~ epred18_0
      | epred21_0 )
    & ( ~ f5($false)
      | ~ epred19_0
      | ~ epred18_0
      | epred21_0 )
    & ( ~ epred19_0
      | ~ epred18_0
      | f5($false)
      | ~ epred18_0
      | epred21_0 )
    & ( ~ f5($false)
      | ~ epred18_0
      | f5($false)
      | ~ epred18_0
      | epred21_0 )
    & ( ~ epred19_0
      | ~ f5($true)
      | f5($false)
      | ~ epred18_0
      | epred21_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | f5($false)
      | ~ epred18_0
      | epred21_0 )
    & ( ~ f5($false)
      | f5($false)
      | ~ epred18_0
      | epred21_0 )
    & ( ~ epred19_0
      | ~ epred18_0
      | ~ epred19_0
      | f5($true)
      | epred21_0 )
    & ( ~ f5($false)
      | ~ epred18_0
      | ~ epred19_0
      | f5($true)
      | epred21_0 )
    & ( ~ epred19_0
      | ~ f5($true)
      | ~ epred19_0
      | f5($true)
      | epred21_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | ~ epred19_0
      | f5($true)
      | epred21_0 )
    & ( ~ f5($false)
      | ~ epred19_0
      | f5($true)
      | epred21_0 )
    & ( ~ epred19_0
      | ~ epred18_0
      | f5($false)
      | f5($true)
      | epred21_0 )
    & ( ~ f5($false)
      | ~ epred18_0
      | f5($false)
      | f5($true)
      | epred21_0 )
    & ( ~ epred19_0
      | ~ f5($true)
      | f5($false)
      | f5($true)
      | epred21_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | f5($false)
      | f5($true)
      | epred21_0 )
    & ( ~ f5($false)
      | f5($false)
      | f5($true)
      | epred21_0 )
    & ( ~ epred19_0
      | ~ epred18_0
      | ~ f5($true)
      | epred21_0 )
    & ( ~ f5($false)
      | ~ epred18_0
      | ~ f5($true)
      | epred21_0 )
    & ( ~ epred19_0
      | ~ f5($true)
      | ~ f5($true)
      | epred21_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | ~ f5($true)
      | epred21_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | epred21_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_153])])]) ).

cnf(c_0_189,plain,
    ( ~ x
    | ~ f7($true)
    | ~ f6($true)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_190,plain,
    ( f7($true)
    | ~ x
    | ~ f6($false)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_191,plain,
    ( x
    | f7($false)
    | f6($false)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_192,plain,
    ( f6($false)
    | f6($true)
    | ~ epred2_0
    | ~ x ),
    inference(spm,[status(thm)],[c_0_154,c_0_155]) ).

cnf(c_0_193,plain,
    ( epred19_0
    | x
    | ~ epred17_0
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_125,c_0_156]) ).

cnf(c_0_194,plain,
    ( epred19_0
    | ~ f6($false)
    | ~ f6($true) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_195,plain,
    ( epred18_0
    | epred2_0
    | ~ epred17_0
    | ~ f6($true) ),
    inference(spm,[status(thm)],[c_0_149,c_0_157]) ).

cnf(c_0_196,plain,
    ( epred17_0
    | ~ f7($false)
    | ~ f7($true) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_197,plain,
    ( epred17_0
    | epred16_0
    | ~ x ),
    inference(spm,[status(thm)],[c_0_86,c_0_158]) ).

cnf(c_0_198,plain,
    ( f6($false)
    | f7($false)
    | f7($true)
    | epred18_0 ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_199,plain,
    ( epred19_0
    | epred18_0
    | f6($false)
    | ~ epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_119]),c_0_121]) ).

cnf(c_0_200,plain,
    ( epred19_0
    | epred1_0
    | f6($false)
    | ~ epred17_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_116]),c_0_159]),c_0_117]) ).

cnf(c_0_201,plain,
    ( epred9_0
    | ~ f2($true)
    | ~ f2($true)
    | ~ epred11_0 ),
    inference(split_conjunct,[status(thm)],[c_0_160]) ).

cnf(c_0_202,negated_conjecture,
    ( epred11_0
    | ~ epred27_0
    | ~ epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]) ).

cnf(c_0_203,plain,
    ( epred26_0
    | epred14_0
    | ~ epred27_0
    | ~ epred12_0 ),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_204,plain,
    ( epred12_0
    | ~ epred10_0
    | ~ f2($false) ),
    inference(csr,[status(thm)],[c_0_166,c_0_167]) ).

cnf(c_0_205,plain,
    ( f2($false)
    | f2($true)
    | epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_168]) ).

cnf(c_0_206,plain,
    ( epred12_0
    | ~ epred10_0
    | ~ f2($true) ),
    inference(cn,[status(thm)],[c_0_169]) ).

cnf(c_0_207,plain,
    ( epred12_0
    | ~ epred9_0
    | ~ epred10_0 ),
    inference(cn,[status(thm)],[c_0_170]) ).

cnf(c_0_208,plain,
    ( epred22_0
    | f3($true)
    | ~ f3($false)
    | ~ epred24_0 ),
    inference(split_conjunct,[status(thm)],[c_0_113]) ).

cnf(c_0_209,plain,
    ( epred22_0
    | ~ epred24_0
    | ~ f3($true) ),
    inference(cn,[status(thm)],[c_0_171]) ).

cnf(c_0_210,plain,
    ( f3($false)
    | epred27_0
    | ~ f2($false)
    | ~ epred24_0 ),
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

cnf(c_0_211,plain,
    ( f2($false)
    | f3($false)
    | epred26_0
    | ~ epred24_0 ),
    inference(split_conjunct,[status(thm)],[c_0_141]) ).

cnf(c_0_212,plain,
    ( f3($true)
    | epred27_0
    | ~ f2($false)
    | ~ epred25_0 ),
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

cnf(c_0_213,plain,
    ( f2($false)
    | f3($true)
    | epred26_0
    | ~ epred25_0 ),
    inference(split_conjunct,[status(thm)],[c_0_141]) ).

cnf(c_0_214,plain,
    ( epred27_0
    | epred26_0
    | ~ epred25_0
    | ~ f3($true) ),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_215,plain,
    ( epred25_0
    | ~ epred23_0
    | ~ f3($false) ),
    inference(csr,[status(thm)],[c_0_174,c_0_175]) ).

cnf(c_0_216,plain,
    ( f3($false)
    | f3($true)
    | epred24_0 ),
    inference(split_conjunct,[status(thm)],[c_0_113]) ).

cnf(c_0_217,plain,
    ( epred27_0
    | ~ epred25_0
    | ~ epred24_0
    | ~ epred25_0
    | ~ epred24_0 ),
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

cnf(c_0_218,plain,
    ( epred25_0
    | ~ epred23_0
    | ~ epred22_0
    | ~ epred23_0
    | ~ epred22_0 ),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_219,plain,
    ( epred24_0
    | ~ epred23_0
    | ~ epred22_0
    | ~ epred23_0
    | ~ epred22_0 ),
    inference(split_conjunct,[status(thm)],[c_0_113]) ).

cnf(c_0_220,plain,
    ( epred23_0
    | ~ epred21_0
    | ~ f5($true)
    | ~ f4($true) ),
    inference(split_conjunct,[status(thm)],[c_0_176]) ).

cnf(c_0_221,plain,
    ( f4($true)
    | epred22_0
    | ~ epred21_0
    | ~ f5($true) ),
    inference(split_conjunct,[status(thm)],[c_0_177]) ).

cnf(c_0_222,plain,
    ( f5($true)
    | epred20_0
    | ~ f5($false)
    | ~ epred18_0 ),
    inference(split_conjunct,[status(thm)],[c_0_145]) ).

cnf(c_0_223,plain,
    ( epred20_0
    | f5($false)
    | ~ epred18_0 ),
    inference(cn,[status(thm)],[c_0_178]) ).

cnf(c_0_224,plain,
    ( epred25_0
    | ~ f3($false)
    | ~ f3($true) ),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_225,plain,
    ( epred24_0
    | f3($true)
    | ~ epred22_0 ),
    inference(csr,[status(thm)],[c_0_179,c_0_180]) ).

fof(c_0_226,plain,
    ( epred10_0
  <=> ( ( ( ( epred7_0
            | ~ f3($true) )
          & ( epred8_0
            | ~ f3($false) ) )
        | f2($true) )
      & ( ( ( epred7_0
            | f3($true) )
          & ( epred8_0
            | f3($false) ) )
        | f2($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_79,c_0_106]),c_0_107]),c_0_106]),c_0_107]) ).

fof(c_0_227,plain,
    ( epred8_0
  <=> ( ( ( ( epred5_0
            | ~ f4($true) )
          & ( epred6_0
            | ~ f4($false) ) )
        | f4($true) )
      & ( ( ( epred5_0
            | f4($true) )
          & ( epred6_0
            | f4($false) ) )
        | f4($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_107,c_0_151]),c_0_152]),c_0_151]),c_0_152]) ).

fof(c_0_228,plain,
    ( ( epred1_0
      | ~ f6($true)
      | ~ f6($true)
      | ~ epred3_0 )
    & ( epred2_0
      | ~ f6($false)
      | ~ f6($true)
      | ~ epred3_0 )
    & ( epred1_0
      | f6($true)
      | ~ f6($false)
      | ~ epred3_0 )
    & ( epred2_0
      | f6($false)
      | ~ f6($false)
      | ~ epred3_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | ~ epred2_0
      | ~ epred1_0
      | epred3_0 )
    & ( ~ f6($false)
      | ~ epred1_0
      | ~ epred2_0
      | ~ epred1_0
      | epred3_0 )
    & ( ~ epred2_0
      | ~ f6($true)
      | ~ epred2_0
      | ~ epred1_0
      | epred3_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | ~ epred2_0
      | ~ epred1_0
      | epred3_0 )
    & ( f6($false)
      | ~ epred2_0
      | ~ epred1_0
      | epred3_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | f6($false)
      | ~ epred1_0
      | epred3_0 )
    & ( ~ f6($false)
      | ~ epred1_0
      | f6($false)
      | ~ epred1_0
      | epred3_0 )
    & ( ~ epred2_0
      | ~ f6($true)
      | f6($false)
      | ~ epred1_0
      | epred3_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | f6($false)
      | ~ epred1_0
      | epred3_0 )
    & ( f6($false)
      | f6($false)
      | ~ epred1_0
      | epred3_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | ~ epred2_0
      | f6($true)
      | epred3_0 )
    & ( ~ f6($false)
      | ~ epred1_0
      | ~ epred2_0
      | f6($true)
      | epred3_0 )
    & ( ~ epred2_0
      | ~ f6($true)
      | ~ epred2_0
      | f6($true)
      | epred3_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | ~ epred2_0
      | f6($true)
      | epred3_0 )
    & ( f6($false)
      | ~ epred2_0
      | f6($true)
      | epred3_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | f6($false)
      | f6($true)
      | epred3_0 )
    & ( ~ f6($false)
      | ~ epred1_0
      | f6($false)
      | f6($true)
      | epred3_0 )
    & ( ~ epred2_0
      | ~ f6($true)
      | f6($false)
      | f6($true)
      | epred3_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | f6($false)
      | f6($true)
      | epred3_0 )
    & ( f6($false)
      | f6($false)
      | f6($true)
      | epred3_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | f6($true)
      | epred3_0 )
    & ( ~ f6($false)
      | ~ epred1_0
      | f6($true)
      | epred3_0 )
    & ( ~ epred2_0
      | ~ f6($true)
      | f6($true)
      | epred3_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | f6($true)
      | epred3_0 )
    & ( f6($false)
      | f6($true)
      | epred3_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_181])])]) ).

cnf(c_0_229,plain,
    ( epred4_0
    | ~ epred2_0
    | ~ f6($true)
    | ~ f6($true) ),
    inference(split_conjunct,[status(thm)],[c_0_182]) ).

cnf(c_0_230,plain,
    ( f6($false)
    | f7($false)
    | x
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_231,plain,
    ( epred2_0
    | epred1_0
    | ~ x ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_117]),c_0_185]) ).

cnf(c_0_232,plain,
    ( epred17_0
    | ~ epred18_0
    | ~ f6($false)
    | ~ x ),
    inference(spm,[status(thm)],[c_0_122,c_0_186]) ).

cnf(c_0_233,plain,
    ( epred17_0
    | epred1_0
    | f6($false)
    | ~ x ),
    inference(spm,[status(thm)],[c_0_86,c_0_116]) ).

fof(c_0_234,plain,
    ( ( epred5_0
      | ~ f4($true)
      | ~ f4($true)
      | ~ epred7_0 )
    & ( epred6_0
      | ~ f4($false)
      | ~ f4($true)
      | ~ epred7_0 )
    & ( epred5_0
      | f4($true)
      | ~ f4($false)
      | ~ epred7_0 )
    & ( epred6_0
      | f4($false)
      | ~ f4($false)
      | ~ epred7_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | ~ epred6_0
      | ~ epred5_0
      | epred7_0 )
    & ( ~ f4($false)
      | ~ epred5_0
      | ~ epred6_0
      | ~ epred5_0
      | epred7_0 )
    & ( ~ epred6_0
      | ~ f4($true)
      | ~ epred6_0
      | ~ epred5_0
      | epred7_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ epred6_0
      | ~ epred5_0
      | epred7_0 )
    & ( f4($false)
      | ~ epred6_0
      | ~ epred5_0
      | epred7_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | f4($false)
      | ~ epred5_0
      | epred7_0 )
    & ( ~ f4($false)
      | ~ epred5_0
      | f4($false)
      | ~ epred5_0
      | epred7_0 )
    & ( ~ epred6_0
      | ~ f4($true)
      | f4($false)
      | ~ epred5_0
      | epred7_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | ~ epred5_0
      | epred7_0 )
    & ( f4($false)
      | f4($false)
      | ~ epred5_0
      | epred7_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | ~ epred6_0
      | f4($true)
      | epred7_0 )
    & ( ~ f4($false)
      | ~ epred5_0
      | ~ epred6_0
      | f4($true)
      | epred7_0 )
    & ( ~ epred6_0
      | ~ f4($true)
      | ~ epred6_0
      | f4($true)
      | epred7_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ epred6_0
      | f4($true)
      | epred7_0 )
    & ( f4($false)
      | ~ epred6_0
      | f4($true)
      | epred7_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | f4($false)
      | f4($true)
      | epred7_0 )
    & ( ~ f4($false)
      | ~ epred5_0
      | f4($false)
      | f4($true)
      | epred7_0 )
    & ( ~ epred6_0
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred7_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred7_0 )
    & ( f4($false)
      | f4($false)
      | f4($true)
      | epred7_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | f4($true)
      | epred7_0 )
    & ( ~ f4($false)
      | ~ epred5_0
      | f4($true)
      | epred7_0 )
    & ( ~ epred6_0
      | ~ f4($true)
      | f4($true)
      | epred7_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($true)
      | epred7_0 )
    & ( f4($false)
      | f4($true)
      | epred7_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_187])])]) ).

cnf(c_0_235,plain,
    ( epred21_0
    | ~ epred19_0
    | ~ f5($true)
    | ~ f5($true) ),
    inference(split_conjunct,[status(thm)],[c_0_188]) ).

cnf(c_0_236,plain,
    ( ~ epred1_0
    | ~ f6($true)
    | ~ f6($false)
    | ~ x ),
    inference(spm,[status(thm)],[c_0_189,c_0_190]) ).

cnf(c_0_237,plain,
    ( f7($true)
    | epred19_0
    | ~ f6($false)
    | ~ epred17_0 ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_238,plain,
    ( f6($false)
    | f6($true)
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_191]),c_0_192]) ).

cnf(c_0_239,plain,
    ( epred19_0
    | ~ epred17_0
    | ~ epred2_0
    | ~ f6($true) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_155]),c_0_193]),c_0_194]) ).

cnf(c_0_240,plain,
    ( f7($false)
    | f7($true)
    | epred19_0
    | ~ f6($false) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_241,plain,
    ( epred18_0
    | epred2_0
    | ~ epred17_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_184]),c_0_120]),c_0_121]),c_0_195]) ).

cnf(c_0_242,plain,
    ( epred17_0
    | epred16_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_88]),c_0_158]),c_0_197]) ).

cnf(c_0_243,plain,
    ( epred17_0
    | epred2_0
    | ~ f6($false)
    | ~ x ),
    inference(spm,[status(thm)],[c_0_86,c_0_184]) ).

cnf(c_0_244,plain,
    ( epred18_0
    | epred17_0
    | f6($false)
    | ~ x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_198]),c_0_86]) ).

cnf(c_0_245,plain,
    ( epred19_0
    | epred18_0
    | ~ epred17_0
    | ~ f6($true) ),
    inference(spm,[status(thm)],[c_0_194,c_0_199]) ).

cnf(c_0_246,plain,
    ( epred19_0
    | epred1_0
    | ~ epred17_0
    | ~ f6($true) ),
    inference(spm,[status(thm)],[c_0_194,c_0_200]) ).

cnf(c_0_247,plain,
    ( epred9_0
    | f2($true)
    | ~ f2($false)
    | ~ epred11_0 ),
    inference(split_conjunct,[status(thm)],[c_0_160]) ).

cnf(c_0_248,plain,
    ( epred9_0
    | ~ epred11_0
    | ~ f2($true) ),
    inference(cn,[status(thm)],[c_0_201]) ).

cnf(c_0_249,plain,
    ( epred26_0
    | epred11_0
    | ~ epred27_0
    | ~ epred12_0 ),
    inference(spm,[status(thm)],[c_0_202,c_0_203]) ).

cnf(c_0_250,plain,
    ( epred12_0
    | ~ epred10_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_206]),c_0_207]) ).

cnf(c_0_251,plain,
    ( epred22_0
    | ~ epred24_0
    | ~ f3($false) ),
    inference(csr,[status(thm)],[c_0_208,c_0_209]) ).

cnf(c_0_252,plain,
    ( epred27_0
    | epred26_0
    | f3($false)
    | ~ epred24_0 ),
    inference(spm,[status(thm)],[c_0_210,c_0_211]) ).

cnf(c_0_253,plain,
    ( epred27_0
    | epred26_0
    | ~ epred25_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_214]) ).

cnf(c_0_254,plain,
    ( epred25_0
    | epred24_0
    | ~ epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_175]) ).

cnf(c_0_255,plain,
    ( epred27_0
    | ~ epred24_0
    | ~ epred25_0 ),
    inference(cn,[status(thm)],[c_0_217]) ).

cnf(c_0_256,plain,
    ( epred25_0
    | ~ epred22_0
    | ~ epred23_0 ),
    inference(cn,[status(thm)],[c_0_218]) ).

cnf(c_0_257,plain,
    ( epred24_0
    | ~ epred22_0
    | ~ epred23_0 ),
    inference(cn,[status(thm)],[c_0_219]) ).

cnf(c_0_258,plain,
    ( epred23_0
    | ~ f5($false)
    | ~ epred20_0
    | ~ f4($true) ),
    inference(split_conjunct,[status(thm)],[c_0_176]) ).

cnf(c_0_259,plain,
    ( f4($true)
    | epred22_0
    | ~ f5($false)
    | ~ epred20_0 ),
    inference(split_conjunct,[status(thm)],[c_0_177]) ).

cnf(c_0_260,plain,
    ( f5($true)
    | epred23_0
    | ~ f4($false)
    | ~ epred21_0 ),
    inference(split_conjunct,[status(thm)],[c_0_176]) ).

cnf(c_0_261,plain,
    ( f4($false)
    | f5($true)
    | epred22_0
    | ~ epred21_0 ),
    inference(split_conjunct,[status(thm)],[c_0_177]) ).

cnf(c_0_262,plain,
    ( epred23_0
    | epred22_0
    | ~ epred21_0
    | ~ f5($true) ),
    inference(spm,[status(thm)],[c_0_220,c_0_221]) ).

cnf(c_0_263,plain,
    ( epred21_0
    | ~ f5($false)
    | ~ f5($true) ),
    inference(split_conjunct,[status(thm)],[c_0_188]) ).

cnf(c_0_264,plain,
    ( epred20_0
    | f5($true)
    | ~ epred18_0 ),
    inference(csr,[status(thm)],[c_0_222,c_0_223]) ).

cnf(c_0_265,plain,
    ( epred27_0
    | ~ f3($false)
    | ~ epred24_0
    | ~ f2($true) ),
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

cnf(c_0_266,plain,
    ( f2($true)
    | epred26_0
    | ~ f3($false)
    | ~ epred24_0 ),
    inference(split_conjunct,[status(thm)],[c_0_141]) ).

cnf(c_0_267,plain,
    ( epred25_0
    | epred24_0
    | ~ epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_180]),c_0_225]) ).

fof(c_0_268,plain,
    ( ( epred7_0
      | ~ f3($true)
      | f2($true)
      | ~ epred10_0 )
    & ( epred8_0
      | ~ f3($false)
      | f2($true)
      | ~ epred10_0 )
    & ( epred7_0
      | f3($true)
      | f2($false)
      | ~ epred10_0 )
    & ( epred8_0
      | f3($false)
      | f2($false)
      | ~ epred10_0 )
    & ( ~ epred8_0
      | ~ epred7_0
      | ~ epred8_0
      | ~ epred7_0
      | epred10_0 )
    & ( ~ f3($false)
      | ~ epred7_0
      | ~ epred8_0
      | ~ epred7_0
      | epred10_0 )
    & ( ~ epred8_0
      | ~ f3($true)
      | ~ epred8_0
      | ~ epred7_0
      | epred10_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | ~ epred8_0
      | ~ epred7_0
      | epred10_0 )
    & ( ~ f2($false)
      | ~ epred8_0
      | ~ epred7_0
      | epred10_0 )
    & ( ~ epred8_0
      | ~ epred7_0
      | f3($false)
      | ~ epred7_0
      | epred10_0 )
    & ( ~ f3($false)
      | ~ epred7_0
      | f3($false)
      | ~ epred7_0
      | epred10_0 )
    & ( ~ epred8_0
      | ~ f3($true)
      | f3($false)
      | ~ epred7_0
      | epred10_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | f3($false)
      | ~ epred7_0
      | epred10_0 )
    & ( ~ f2($false)
      | f3($false)
      | ~ epred7_0
      | epred10_0 )
    & ( ~ epred8_0
      | ~ epred7_0
      | ~ epred8_0
      | f3($true)
      | epred10_0 )
    & ( ~ f3($false)
      | ~ epred7_0
      | ~ epred8_0
      | f3($true)
      | epred10_0 )
    & ( ~ epred8_0
      | ~ f3($true)
      | ~ epred8_0
      | f3($true)
      | epred10_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | ~ epred8_0
      | f3($true)
      | epred10_0 )
    & ( ~ f2($false)
      | ~ epred8_0
      | f3($true)
      | epred10_0 )
    & ( ~ epred8_0
      | ~ epred7_0
      | f3($false)
      | f3($true)
      | epred10_0 )
    & ( ~ f3($false)
      | ~ epred7_0
      | f3($false)
      | f3($true)
      | epred10_0 )
    & ( ~ epred8_0
      | ~ f3($true)
      | f3($false)
      | f3($true)
      | epred10_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | f3($false)
      | f3($true)
      | epred10_0 )
    & ( ~ f2($false)
      | f3($false)
      | f3($true)
      | epred10_0 )
    & ( ~ epred8_0
      | ~ epred7_0
      | ~ f2($true)
      | epred10_0 )
    & ( ~ f3($false)
      | ~ epred7_0
      | ~ f2($true)
      | epred10_0 )
    & ( ~ epred8_0
      | ~ f3($true)
      | ~ f2($true)
      | epred10_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | ~ f2($true)
      | epred10_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | epred10_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_226])])]) ).

fof(c_0_269,plain,
    ( ( epred5_0
      | ~ f4($true)
      | f4($true)
      | ~ epred8_0 )
    & ( epred6_0
      | ~ f4($false)
      | f4($true)
      | ~ epred8_0 )
    & ( epred5_0
      | f4($true)
      | f4($false)
      | ~ epred8_0 )
    & ( epred6_0
      | f4($false)
      | f4($false)
      | ~ epred8_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | ~ epred6_0
      | ~ epred5_0
      | epred8_0 )
    & ( ~ f4($false)
      | ~ epred5_0
      | ~ epred6_0
      | ~ epred5_0
      | epred8_0 )
    & ( ~ epred6_0
      | ~ f4($true)
      | ~ epred6_0
      | ~ epred5_0
      | epred8_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ epred6_0
      | ~ epred5_0
      | epred8_0 )
    & ( ~ f4($false)
      | ~ epred6_0
      | ~ epred5_0
      | epred8_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | f4($false)
      | ~ epred5_0
      | epred8_0 )
    & ( ~ f4($false)
      | ~ epred5_0
      | f4($false)
      | ~ epred5_0
      | epred8_0 )
    & ( ~ epred6_0
      | ~ f4($true)
      | f4($false)
      | ~ epred5_0
      | epred8_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | ~ epred5_0
      | epred8_0 )
    & ( ~ f4($false)
      | f4($false)
      | ~ epred5_0
      | epred8_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | ~ epred6_0
      | f4($true)
      | epred8_0 )
    & ( ~ f4($false)
      | ~ epred5_0
      | ~ epred6_0
      | f4($true)
      | epred8_0 )
    & ( ~ epred6_0
      | ~ f4($true)
      | ~ epred6_0
      | f4($true)
      | epred8_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ epred6_0
      | f4($true)
      | epred8_0 )
    & ( ~ f4($false)
      | ~ epred6_0
      | f4($true)
      | epred8_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | f4($false)
      | f4($true)
      | epred8_0 )
    & ( ~ f4($false)
      | ~ epred5_0
      | f4($false)
      | f4($true)
      | epred8_0 )
    & ( ~ epred6_0
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred8_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred8_0 )
    & ( ~ f4($false)
      | f4($false)
      | f4($true)
      | epred8_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | ~ f4($true)
      | epred8_0 )
    & ( ~ f4($false)
      | ~ epred5_0
      | ~ f4($true)
      | epred8_0 )
    & ( ~ epred6_0
      | ~ f4($true)
      | ~ f4($true)
      | epred8_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ f4($true)
      | epred8_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | epred8_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_227])])]) ).

fof(c_0_270,plain,
    ( epred5_0
  <=> ( ( ( ( epred3_0
            | ~ f5($true) )
          & ( epred4_0
            | ~ f5($false) ) )
        | ~ f4($true) )
      & ( ( ( epred3_0
            | f5($true) )
          & ( epred4_0
            | f5($false) ) )
        | ~ f4($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_151,c_0_147]),c_0_114]),c_0_147]),c_0_114]) ).

fof(c_0_271,plain,
    ( epred6_0
  <=> ( ( ( ( epred3_0
            | ~ f5($true) )
          & ( epred4_0
            | ~ f5($false) ) )
        | f4($true) )
      & ( ( ( epred3_0
            | f5($true) )
          & ( epred4_0
            | f5($false) ) )
        | f4($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_152,c_0_147]),c_0_114]),c_0_147]),c_0_114]) ).

cnf(c_0_272,plain,
    ( f6($false)
    | f6($false)
    | epred3_0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_228]) ).

cnf(c_0_273,plain,
    ( f6($true)
    | epred4_0
    | ~ f6($false)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_182]) ).

cnf(c_0_274,plain,
    ( epred4_0
    | ~ epred2_0
    | ~ f6($true) ),
    inference(cn,[status(thm)],[c_0_229]) ).

cnf(c_0_275,plain,
    ( epred4_0
    | ~ epred2_0
    | ~ epred1_0
    | ~ epred2_0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_182]) ).

cnf(c_0_276,plain,
    ( epred2_0
    | epred1_0
    | f6($false) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_230]),c_0_117]),c_0_231]) ).

cnf(c_0_277,plain,
    ( epred17_0
    | epred1_0
    | ~ epred18_0
    | ~ x ),
    inference(spm,[status(thm)],[c_0_232,c_0_233]) ).

cnf(c_0_278,plain,
    ( epred2_0
    | epred1_0
    | x
    | ~ epred17_0 ),
    inference(spm,[status(thm)],[c_0_83,c_0_126]) ).

cnf(c_0_279,plain,
    ( f4($false)
    | f4($false)
    | epred7_0
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_234]) ).

cnf(c_0_280,plain,
    ( epred27_0
    | f1($false)
    | f1($false)
    | ~ epred29_0 ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_281,plain,
    ( ~ x
    | ~ f7($true)
    | ~ f7($true)
    | ~ epred16_0 ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_282,plain,
    ( epred17_0
    | f7($false)
    | f6($false)
    | ~ epred19_0 ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_283,plain,
    ( epred16_0
    | f6($true)
    | ~ f7($true)
    | ~ epred19_0 ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_284,plain,
    ( f5($true)
    | epred21_0
    | ~ f5($false)
    | ~ epred19_0 ),
    inference(split_conjunct,[status(thm)],[c_0_188]) ).

cnf(c_0_285,plain,
    ( epred21_0
    | ~ epred19_0
    | ~ f5($true) ),
    inference(cn,[status(thm)],[c_0_235]) ).

cnf(c_0_286,plain,
    ( ~ epred2_0
    | ~ epred1_0
    | ~ f6($true)
    | ~ x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_155]),c_0_236]) ).

cnf(c_0_287,plain,
    ( epred19_0
    | ~ epred17_0
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_237]),c_0_193]),c_0_238]),c_0_239]) ).

cnf(c_0_288,plain,
    ( epred19_0
    | epred17_0
    | ~ f6($false)
    | ~ x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_240]),c_0_86]) ).

cnf(c_0_289,plain,
    ( epred17_0
    | f6($false)
    | ~ epred2_0
    | ~ x ),
    inference(spm,[status(thm)],[c_0_86,c_0_155]) ).

cnf(c_0_290,plain,
    ( x
    | ~ f7($false)
    | ~ f6($true)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_291,plain,
    ( x
    | f7($false)
    | ~ f6($false)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_292,plain,
    ( f6($false)
    | f7($false)
    | epred18_0
    | ~ epred16_0 ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_293,plain,
    ( epred18_0
    | epred16_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_241,c_0_242]) ).

cnf(c_0_294,plain,
    ( epred18_0
    | epred2_0
    | ~ x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_241]) ).

cnf(c_0_295,plain,
    ( epred19_0
    | epred18_0
    | ~ epred17_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_237]),c_0_121]),c_0_245]) ).

cnf(c_0_296,plain,
    ( epred19_0
    | epred1_0
    | ~ epred17_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_237]),c_0_159]),c_0_117]),c_0_246]) ).

cnf(c_0_297,plain,
    ( epred9_0
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_247,c_0_205]),c_0_248]) ).

cnf(c_0_298,plain,
    ( epred26_0
    | epred11_0
    | ~ epred27_0
    | ~ epred10_0 ),
    inference(spm,[status(thm)],[c_0_249,c_0_250]) ).

cnf(c_0_299,plain,
    ( epred27_0
    | epred26_0
    | epred22_0
    | ~ epred24_0 ),
    inference(spm,[status(thm)],[c_0_251,c_0_252]) ).

cnf(c_0_300,plain,
    ( epred27_0
    | epred26_0
    | epred24_0
    | ~ epred23_0 ),
    inference(spm,[status(thm)],[c_0_253,c_0_254]) ).

cnf(c_0_301,plain,
    ( epred27_0
    | ~ epred23_0
    | ~ epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_257]) ).

cnf(c_0_302,plain,
    ( f5($false)
    | epred23_0
    | ~ f4($false)
    | ~ epred20_0 ),
    inference(split_conjunct,[status(thm)],[c_0_176]) ).

cnf(c_0_303,plain,
    ( f4($false)
    | f5($false)
    | epred22_0
    | ~ epred20_0 ),
    inference(split_conjunct,[status(thm)],[c_0_177]) ).

cnf(c_0_304,plain,
    ( epred23_0
    | epred22_0
    | ~ epred20_0
    | ~ f5($false) ),
    inference(spm,[status(thm)],[c_0_258,c_0_259]) ).

cnf(c_0_305,plain,
    ( epred23_0
    | epred22_0
    | ~ epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_262]) ).

cnf(c_0_306,plain,
    ( epred21_0
    | epred20_0
    | ~ epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_223]),c_0_264]) ).

cnf(c_0_307,plain,
    ( epred27_0
    | epred26_0
    | ~ epred24_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_266]),c_0_252]) ).

cnf(c_0_308,plain,
    ( epred27_0
    | epred26_0
    | epred24_0
    | ~ epred22_0 ),
    inference(spm,[status(thm)],[c_0_253,c_0_267]) ).

cnf(c_0_309,plain,
    ( epred10_0
    | ~ epred8_0
    | ~ f3($true)
    | ~ f2($true) ),
    inference(split_conjunct,[status(thm)],[c_0_268]) ).

cnf(c_0_310,plain,
    ( f2($true)
    | epred9_0
    | ~ epred8_0
    | ~ f3($true) ),
    inference(split_conjunct,[status(thm)],[c_0_168]) ).

cnf(c_0_311,plain,
    ( f4($true)
    | epred8_0
    | ~ f4($false)
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_269]) ).

cnf(c_0_312,plain,
    ( epred8_0
    | ~ f4($false)
    | ~ f4($true) ),
    inference(split_conjunct,[status(thm)],[c_0_269]) ).

fof(c_0_313,plain,
    ( ( epred3_0
      | ~ f5($true)
      | ~ f4($true)
      | ~ epred5_0 )
    & ( epred4_0
      | ~ f5($false)
      | ~ f4($true)
      | ~ epred5_0 )
    & ( epred3_0
      | f5($true)
      | ~ f4($false)
      | ~ epred5_0 )
    & ( epred4_0
      | f5($false)
      | ~ f4($false)
      | ~ epred5_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | ~ epred4_0
      | ~ epred3_0
      | epred5_0 )
    & ( ~ f5($false)
      | ~ epred3_0
      | ~ epred4_0
      | ~ epred3_0
      | epred5_0 )
    & ( ~ epred4_0
      | ~ f5($true)
      | ~ epred4_0
      | ~ epred3_0
      | epred5_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | ~ epred4_0
      | ~ epred3_0
      | epred5_0 )
    & ( f4($false)
      | ~ epred4_0
      | ~ epred3_0
      | epred5_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | f5($false)
      | ~ epred3_0
      | epred5_0 )
    & ( ~ f5($false)
      | ~ epred3_0
      | f5($false)
      | ~ epred3_0
      | epred5_0 )
    & ( ~ epred4_0
      | ~ f5($true)
      | f5($false)
      | ~ epred3_0
      | epred5_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | f5($false)
      | ~ epred3_0
      | epred5_0 )
    & ( f4($false)
      | f5($false)
      | ~ epred3_0
      | epred5_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | ~ epred4_0
      | f5($true)
      | epred5_0 )
    & ( ~ f5($false)
      | ~ epred3_0
      | ~ epred4_0
      | f5($true)
      | epred5_0 )
    & ( ~ epred4_0
      | ~ f5($true)
      | ~ epred4_0
      | f5($true)
      | epred5_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | ~ epred4_0
      | f5($true)
      | epred5_0 )
    & ( f4($false)
      | ~ epred4_0
      | f5($true)
      | epred5_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | f5($false)
      | f5($true)
      | epred5_0 )
    & ( ~ f5($false)
      | ~ epred3_0
      | f5($false)
      | f5($true)
      | epred5_0 )
    & ( ~ epred4_0
      | ~ f5($true)
      | f5($false)
      | f5($true)
      | epred5_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | f5($false)
      | f5($true)
      | epred5_0 )
    & ( f4($false)
      | f5($false)
      | f5($true)
      | epred5_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | f4($true)
      | epred5_0 )
    & ( ~ f5($false)
      | ~ epred3_0
      | f4($true)
      | epred5_0 )
    & ( ~ epred4_0
      | ~ f5($true)
      | f4($true)
      | epred5_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | f4($true)
      | epred5_0 )
    & ( f4($false)
      | f4($true)
      | epred5_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_270])])]) ).

cnf(c_0_314,plain,
    ( epred8_0
    | ~ epred6_0
    | ~ f4($true)
    | ~ f4($true) ),
    inference(split_conjunct,[status(thm)],[c_0_269]) ).

cnf(c_0_315,plain,
    ( epred8_0
    | ~ epred6_0
    | ~ epred5_0
    | ~ epred6_0
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_269]) ).

fof(c_0_316,plain,
    ( ( epred3_0
      | ~ f5($true)
      | f4($true)
      | ~ epred6_0 )
    & ( epred4_0
      | ~ f5($false)
      | f4($true)
      | ~ epred6_0 )
    & ( epred3_0
      | f5($true)
      | f4($false)
      | ~ epred6_0 )
    & ( epred4_0
      | f5($false)
      | f4($false)
      | ~ epred6_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | ~ epred4_0
      | ~ epred3_0
      | epred6_0 )
    & ( ~ f5($false)
      | ~ epred3_0
      | ~ epred4_0
      | ~ epred3_0
      | epred6_0 )
    & ( ~ epred4_0
      | ~ f5($true)
      | ~ epred4_0
      | ~ epred3_0
      | epred6_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | ~ epred4_0
      | ~ epred3_0
      | epred6_0 )
    & ( ~ f4($false)
      | ~ epred4_0
      | ~ epred3_0
      | epred6_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | f5($false)
      | ~ epred3_0
      | epred6_0 )
    & ( ~ f5($false)
      | ~ epred3_0
      | f5($false)
      | ~ epred3_0
      | epred6_0 )
    & ( ~ epred4_0
      | ~ f5($true)
      | f5($false)
      | ~ epred3_0
      | epred6_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | f5($false)
      | ~ epred3_0
      | epred6_0 )
    & ( ~ f4($false)
      | f5($false)
      | ~ epred3_0
      | epred6_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | ~ epred4_0
      | f5($true)
      | epred6_0 )
    & ( ~ f5($false)
      | ~ epred3_0
      | ~ epred4_0
      | f5($true)
      | epred6_0 )
    & ( ~ epred4_0
      | ~ f5($true)
      | ~ epred4_0
      | f5($true)
      | epred6_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | ~ epred4_0
      | f5($true)
      | epred6_0 )
    & ( ~ f4($false)
      | ~ epred4_0
      | f5($true)
      | epred6_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | f5($false)
      | f5($true)
      | epred6_0 )
    & ( ~ f5($false)
      | ~ epred3_0
      | f5($false)
      | f5($true)
      | epred6_0 )
    & ( ~ epred4_0
      | ~ f5($true)
      | f5($false)
      | f5($true)
      | epred6_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | f5($false)
      | f5($true)
      | epred6_0 )
    & ( ~ f4($false)
      | f5($false)
      | f5($true)
      | epred6_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | ~ f4($true)
      | epred6_0 )
    & ( ~ f5($false)
      | ~ epred3_0
      | ~ f4($true)
      | epred6_0 )
    & ( ~ epred4_0
      | ~ f5($true)
      | ~ f4($true)
      | epred6_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | ~ f4($true)
      | epred6_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | epred6_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_271])])]) ).

cnf(c_0_317,plain,
    ( f6($true)
    | epred3_0
    | ~ f6($false)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_228]) ).

cnf(c_0_318,plain,
    ( epred3_0
    | f6($false)
    | ~ epred1_0 ),
    inference(cn,[status(thm)],[c_0_272]) ).

cnf(c_0_319,plain,
    ( epred3_0
    | ~ epred2_0
    | ~ epred1_0
    | ~ epred2_0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_228]) ).

cnf(c_0_320,plain,
    ( epred4_0
    | ~ epred2_0
    | ~ f6($false) ),
    inference(csr,[status(thm)],[c_0_273,c_0_274]) ).

cnf(c_0_321,plain,
    ( epred4_0
    | ~ epred1_0
    | ~ epred2_0 ),
    inference(cn,[status(thm)],[c_0_275]) ).

cnf(c_0_322,plain,
    ( epred2_0
    | epred1_0
    | ~ f6($true) ),
    inference(spm,[status(thm)],[c_0_149,c_0_276]) ).

cnf(c_0_323,plain,
    ( epred17_0
    | epred1_0
    | f6($true)
    | ~ epred18_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_186]),c_0_117]),c_0_277]) ).

cnf(c_0_324,plain,
    ( epred2_0
    | epred1_0
    | ~ epred17_0 ),
    inference(spm,[status(thm)],[c_0_231,c_0_278]) ).

cnf(c_0_325,plain,
    ( f3($false)
    | epred10_0
    | ~ f2($false)
    | ~ epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_268]) ).

cnf(c_0_326,plain,
    ( f2($false)
    | f3($false)
    | epred9_0
    | ~ epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_168]) ).

cnf(c_0_327,plain,
    ( f4($true)
    | epred7_0
    | ~ f4($false)
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_234]) ).

cnf(c_0_328,plain,
    ( epred7_0
    | f4($false)
    | ~ epred5_0 ),
    inference(cn,[status(thm)],[c_0_279]) ).

cnf(c_0_329,plain,
    ( epred7_0
    | ~ epred6_0
    | ~ epred5_0
    | ~ epred6_0
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_234]) ).

cnf(c_0_330,plain,
    ( epred30_0
    | ~ f1($false)
    | ~ f1($true)
    | ~ f0($true) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_331,plain,
    ( f0($true)
    | epred13_0
    | ~ f1($false)
    | ~ f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_332,plain,
    ( epred27_0
    | f1($true)
    | ~ f1($false)
    | ~ epred29_0 ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_333,plain,
    ( epred27_0
    | f1($false)
    | ~ epred29_0 ),
    inference(cn,[status(thm)],[c_0_280]) ).

cnf(c_0_334,plain,
    ( f1($false)
    | f1($false)
    | epred28_0
    | ~ epred26_0 ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_335,plain,
    ( f7($true)
    | ~ x
    | ~ f7($false)
    | ~ epred16_0 ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_336,plain,
    ( ~ x
    | ~ epred16_0
    | ~ f7($true) ),
    inference(cn,[status(thm)],[c_0_281]) ).

cnf(c_0_337,plain,
    ( f7($true)
    | f7($false)
    | ~ x
    | ~ epred17_0 ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_338,plain,
    ( epred17_0
    | f6($true)
    | ~ f7($false)
    | ~ epred19_0 ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_339,plain,
    ( epred17_0
    | f6($false)
    | ~ epred19_0
    | ~ x ),
    inference(spm,[status(thm)],[c_0_122,c_0_282]) ).

cnf(c_0_340,plain,
    ( epred16_0
    | epred2_0
    | x
    | ~ f6($true) ),
    inference(spm,[status(thm)],[c_0_56,c_0_88]) ).

cnf(c_0_341,plain,
    ( epred16_0
    | f6($true)
    | x
    | ~ epred19_0 ),
    inference(spm,[status(thm)],[c_0_283,c_0_124]) ).

cnf(c_0_342,plain,
    ( epred16_0
    | f7($true)
    | f6($false)
    | ~ epred19_0 ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_343,plain,
    ( epred21_0
    | ~ epred19_0
    | ~ f5($false) ),
    inference(csr,[status(thm)],[c_0_284,c_0_285]) ).

cnf(c_0_344,plain,
    ( f5($false)
    | f5($true)
    | epred20_0 ),
    inference(split_conjunct,[status(thm)],[c_0_145]) ).

cnf(c_0_345,plain,
    ( ~ epred2_0
    | ~ epred1_0
    | ~ x ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_190]),c_0_238]),c_0_286]) ).

cnf(c_0_346,plain,
    ( f7($false)
    | epred19_0
    | ~ f6($false)
    | ~ epred16_0 ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_347,plain,
    ( epred19_0
    | epred16_0
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_287,c_0_242]) ).

cnf(c_0_348,plain,
    ( epred19_0
    | ~ epred2_0
    | ~ x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_289]),c_0_287]) ).

cnf(c_0_349,plain,
    ( ~ epred1_0
    | ~ f6($true)
    | ~ f6($false) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_236]) ).

cnf(c_0_350,plain,
    ( epred18_0
    | epred2_0
    | f6($false) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_292]),c_0_121]),c_0_293]),c_0_294]) ).

cnf(c_0_351,plain,
    ( f6($true)
    | epred18_0
    | ~ f7($false)
    | ~ epred16_0 ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_352,plain,
    ( epred19_0
    | epred18_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_295,c_0_242]) ).

cnf(c_0_353,plain,
    ( epred19_0
    | epred16_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_296,c_0_242]) ).

cnf(c_0_354,plain,
    ( epred19_0
    | epred1_0
    | ~ x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_233]),c_0_296]) ).

cnf(c_0_355,plain,
    ( epred26_0
    | epred9_0
    | ~ epred27_0
    | ~ epred10_0 ),
    inference(spm,[status(thm)],[c_0_297,c_0_298]) ).

cnf(c_0_356,plain,
    ( epred27_0
    | epred26_0
    | ~ epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_301]) ).

cnf(c_0_357,plain,
    ( epred23_0
    | epred22_0
    | ~ epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_304]) ).

cnf(c_0_358,plain,
    ( epred23_0
    | epred22_0
    | epred20_0
    | ~ epred18_0 ),
    inference(spm,[status(thm)],[c_0_305,c_0_306]) ).

cnf(c_0_359,plain,
    ( epred27_0
    | epred26_0
    | ~ epred22_0 ),
    inference(spm,[status(thm)],[c_0_307,c_0_308]) ).

cnf(c_0_360,plain,
    ( f3($true)
    | epred10_0
    | ~ f2($false)
    | ~ epred8_0 ),
    inference(split_conjunct,[status(thm)],[c_0_268]) ).

cnf(c_0_361,plain,
    ( f2($false)
    | f3($true)
    | epred9_0
    | ~ epred8_0 ),
    inference(split_conjunct,[status(thm)],[c_0_168]) ).

cnf(c_0_362,plain,
    ( epred10_0
    | epred9_0
    | ~ epred8_0
    | ~ f3($true) ),
    inference(spm,[status(thm)],[c_0_309,c_0_310]) ).

cnf(c_0_363,plain,
    ( epred8_0
    | ~ epred6_0
    | ~ f4($false) ),
    inference(csr,[status(thm)],[c_0_311,c_0_312]) ).

cnf(c_0_364,plain,
    ( f4($false)
    | f4($true)
    | epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_313]) ).

cnf(c_0_365,plain,
    ( epred8_0
    | ~ epred6_0
    | ~ f4($true) ),
    inference(cn,[status(thm)],[c_0_314]) ).

cnf(c_0_366,plain,
    ( epred8_0
    | ~ epred5_0
    | ~ epred6_0 ),
    inference(cn,[status(thm)],[c_0_315]) ).

cnf(c_0_367,plain,
    ( epred6_0
    | ~ epred4_0
    | ~ f5($true)
    | ~ f4($true) ),
    inference(split_conjunct,[status(thm)],[c_0_316]) ).

cnf(c_0_368,plain,
    ( f4($true)
    | epred5_0
    | ~ epred4_0
    | ~ f5($true) ),
    inference(split_conjunct,[status(thm)],[c_0_313]) ).

cnf(c_0_369,plain,
    ( epred3_0
    | f6($true)
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[c_0_317,c_0_318]) ).

cnf(c_0_370,plain,
    ( epred3_0
    | ~ epred1_0
    | ~ epred2_0 ),
    inference(cn,[status(thm)],[c_0_319]) ).

cnf(c_0_371,plain,
    ( epred4_0
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_117]),c_0_274]),c_0_321]) ).

cnf(c_0_372,plain,
    ( epred2_0
    | epred1_0
    | ~ epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_323]),c_0_324]) ).

cnf(c_0_373,plain,
    ( epred6_0
    | ~ f5($false)
    | ~ epred3_0
    | ~ f4($true) ),
    inference(split_conjunct,[status(thm)],[c_0_316]) ).

cnf(c_0_374,plain,
    ( f4($true)
    | epred5_0
    | ~ f5($false)
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_313]) ).

cnf(c_0_375,plain,
    ( epred10_0
    | ~ f3($false)
    | ~ epred7_0
    | ~ f2($true) ),
    inference(split_conjunct,[status(thm)],[c_0_268]) ).

cnf(c_0_376,plain,
    ( f2($true)
    | epred9_0
    | ~ f3($false)
    | ~ epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_168]) ).

cnf(c_0_377,plain,
    ( epred10_0
    | epred9_0
    | f3($false)
    | ~ epred7_0 ),
    inference(spm,[status(thm)],[c_0_325,c_0_326]) ).

cnf(c_0_378,plain,
    ( epred6_0
    | ~ f4($false)
    | ~ f4($true) ),
    inference(split_conjunct,[status(thm)],[c_0_316]) ).

cnf(c_0_379,plain,
    ( epred7_0
    | f4($true)
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[c_0_327,c_0_328]) ).

cnf(c_0_380,plain,
    ( epred7_0
    | ~ epred5_0
    | ~ epred6_0 ),
    inference(cn,[status(thm)],[c_0_329]) ).

cnf(c_0_381,plain,
    ( epred2_0
    | f6($false)
    | f6($false)
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_182]) ).

cnf(c_0_382,plain,
    ( f1($false)
    | epred30_0
    | ~ f0($false)
    | ~ epred28_0 ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_383,plain,
    ( epred12_0
    | f1($false)
    | f0($false)
    | ~ epred14_0 ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_384,plain,
    ( epred30_0
    | epred13_0
    | ~ f1($true)
    | ~ f1($false) ),
    inference(spm,[status(thm)],[c_0_330,c_0_331]) ).

cnf(c_0_385,plain,
    ( epred27_0
    | f1($true)
    | ~ epred29_0 ),
    inference(csr,[status(thm)],[c_0_332,c_0_333]) ).

cnf(c_0_386,plain,
    ( f1($true)
    | epred28_0
    | ~ f1($false)
    | ~ epred26_0 ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_387,plain,
    ( epred28_0
    | f1($false)
    | ~ epred26_0 ),
    inference(cn,[status(thm)],[c_0_334]) ).

cnf(c_0_388,plain,
    ( epred14_0
    | ~ f1($false)
    | ~ f1($true)
    | ~ f0($true) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_389,plain,
    ( f1($false)
    | epred14_0
    | ~ f0($false)
    | ~ epred11_0 ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_390,plain,
    ( ~ epred16_0
    | ~ f7($false)
    | ~ x ),
    inference(csr,[status(thm)],[c_0_335,c_0_336]) ).

cnf(c_0_391,plain,
    ( f7($false)
    | f7($true)
    | ~ epred17_0 ),
    inference(csr,[status(thm)],[c_0_337,c_0_39]) ).

cnf(c_0_392,plain,
    ( epred17_0
    | f6($false)
    | f6($true)
    | ~ epred19_0 ),
    inference(spm,[status(thm)],[c_0_338,c_0_282]) ).

cnf(c_0_393,plain,
    ( epred17_0
    | epred2_0
    | ~ epred19_0
    | ~ x ),
    inference(spm,[status(thm)],[c_0_243,c_0_339]) ).

cnf(c_0_394,plain,
    ( epred16_0
    | epred2_0
    | x
    | ~ epred19_0 ),
    inference(spm,[status(thm)],[c_0_340,c_0_341]) ).

cnf(c_0_395,plain,
    ( epred16_0
    | f6($false)
    | f6($true)
    | ~ epred19_0 ),
    inference(spm,[status(thm)],[c_0_283,c_0_342]) ).

cnf(c_0_396,plain,
    ( epred21_0
    | epred20_0
    | ~ epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_344]),c_0_285]) ).

cnf(c_0_397,plain,
    ( f6($false)
    | ~ epred2_0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_191]),c_0_238]),c_0_345]) ).

cnf(c_0_398,plain,
    ( epred19_0
    | f6($true)
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_346]),c_0_238]),c_0_347]),c_0_348]) ).

cnf(c_0_399,plain,
    ( epred18_0
    | epred2_0
    | ~ f6($true) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_350]),c_0_322]) ).

cnf(c_0_400,plain,
    ( epred19_0
    | epred18_0
    | f6($true) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_346]),c_0_121]),c_0_352]) ).

cnf(c_0_401,plain,
    ( epred19_0
    | ~ f7($false)
    | ~ epred16_0
    | ~ f6($true) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_402,plain,
    ( epred19_0
    | epred1_0
    | f6($true) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_346]),c_0_117]),c_0_353]),c_0_354]) ).

cnf(c_0_403,plain,
    ( epred26_0
    | epred9_0
    | ~ epred23_0
    | ~ epred10_0 ),
    inference(spm,[status(thm)],[c_0_355,c_0_356]) ).

cnf(c_0_404,plain,
    ( epred23_0
    | epred22_0
    | ~ epred18_0 ),
    inference(spm,[status(thm)],[c_0_357,c_0_358]) ).

cnf(c_0_405,plain,
    ( epred26_0
    | epred9_0
    | ~ epred22_0
    | ~ epred10_0 ),
    inference(spm,[status(thm)],[c_0_355,c_0_359]) ).

cnf(c_0_406,plain,
    ( epred10_0
    | epred9_0
    | ~ epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_361]),c_0_362]) ).

cnf(c_0_407,plain,
    ( epred8_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_364]),c_0_365]),c_0_366]) ).

cnf(c_0_408,plain,
    ( f5($true)
    | epred6_0
    | ~ f4($false)
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_316]) ).

cnf(c_0_409,plain,
    ( f4($false)
    | f5($true)
    | epred5_0
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_313]) ).

cnf(c_0_410,plain,
    ( epred6_0
    | epred5_0
    | ~ epred4_0
    | ~ f5($true) ),
    inference(spm,[status(thm)],[c_0_367,c_0_368]) ).

cnf(c_0_411,plain,
    ( epred3_0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_318]),c_0_369]),c_0_370]) ).

cnf(c_0_412,plain,
    ( epred4_0
    | epred1_0
    | ~ epred18_0 ),
    inference(spm,[status(thm)],[c_0_371,c_0_372]) ).

cnf(c_0_413,plain,
    ( f5($false)
    | epred6_0
    | ~ f4($false)
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_316]) ).

cnf(c_0_414,plain,
    ( f4($false)
    | f5($false)
    | epred5_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_313]) ).

cnf(c_0_415,plain,
    ( epred6_0
    | epred5_0
    | ~ epred3_0
    | ~ f5($false) ),
    inference(spm,[status(thm)],[c_0_373,c_0_374]) ).

cnf(c_0_416,plain,
    ( epred10_0
    | epred9_0
    | ~ epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_376]),c_0_377]) ).

cnf(c_0_417,plain,
    ( epred7_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_328]),c_0_379]),c_0_380]) ).

cnf(c_0_418,plain,
    ( epred2_0
    | f6($true)
    | ~ f6($false)
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_182]) ).

cnf(c_0_419,plain,
    ( epred2_0
    | f6($false)
    | ~ epred4_0 ),
    inference(cn,[status(thm)],[c_0_381]) ).

cnf(c_0_420,plain,
    ( epred21_0
    | ~ f5($false)
    | ~ f4($true)
    | ~ epred22_0 ),
    inference(split_conjunct,[status(thm)],[c_0_177]) ).

cnf(c_0_421,plain,
    ( epred4_0
    | f4($true)
    | ~ f5($false)
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_316]) ).

cnf(c_0_422,plain,
    ( epred30_0
    | ~ f1($false)
    | ~ epred28_0
    | ~ f0($true) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_423,plain,
    ( epred12_0
    | f0($true)
    | ~ f1($false)
    | ~ epred14_0 ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_424,plain,
    ( epred30_0
    | epred12_0
    | f1($false)
    | ~ epred28_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_383]),c_0_68]) ).

cnf(c_0_425,plain,
    ( epred30_0
    | epred27_0
    | epred13_0
    | ~ epred29_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_333]),c_0_385]) ).

cnf(c_0_426,plain,
    ( epred28_0
    | f1($true)
    | ~ epred26_0 ),
    inference(csr,[status(thm)],[c_0_386,c_0_387]) ).

cnf(c_0_427,plain,
    ( epred28_0
    | epred14_0
    | ~ f1($true)
    | ~ f1($false) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_136]),c_0_68]) ).

cnf(c_0_428,plain,
    ( epred28_0
    | ~ epred27_0
    | ~ epred26_0
    | ~ epred27_0
    | ~ epred26_0 ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_429,plain,
    ( epred12_0
    | f1($false)
    | ~ f0($false)
    | ~ epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_430,plain,
    ( epred27_0
    | ~ f1($false)
    | ~ f1($true)
    | ~ epred28_0 ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_431,plain,
    ( epred14_0
    | ~ f1($false)
    | ~ epred11_0
    | ~ f0($true) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_432,plain,
    ( epred29_0
    | f0($true)
    | ~ f1($false)
    | ~ epred30_0 ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_433,plain,
    ( epred29_0
    | epred14_0
    | f1($false)
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_75]),c_0_68]) ).

cnf(c_0_434,plain,
    ( x
    | ~ f7($false)
    | ~ f7($true)
    | ~ epred16_0 ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_435,plain,
    ( f7($true)
    | ~ epred17_0
    | ~ epred16_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_391]),c_0_58]) ).

cnf(c_0_436,plain,
    ( epred17_0
    | epred2_0
    | f6($false)
    | ~ epred19_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_282]),c_0_392]),c_0_393]) ).

cnf(c_0_437,plain,
    ( epred16_0
    | epred2_0
    | f6($false)
    | ~ epred19_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_342]),c_0_394]),c_0_395]) ).

cnf(c_0_438,plain,
    ( epred23_0
    | epred22_0
    | epred20_0
    | ~ epred19_0 ),
    inference(spm,[status(thm)],[c_0_305,c_0_396]) ).

cnf(c_0_439,plain,
    ( epred19_0
    | ~ epred2_0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_397]),c_0_398]) ).

cnf(c_0_440,plain,
    ( epred19_0
    | epred18_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_399,c_0_400]) ).

cnf(c_0_441,plain,
    ( epred19_0
    | epred1_0
    | f6($false) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_230]),c_0_402]),c_0_353]),c_0_354]) ).

cnf(c_0_442,plain,
    ( epred26_0
    | epred9_0
    | ~ epred18_0
    | ~ epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_404]),c_0_405]) ).

cnf(c_0_443,plain,
    ( epred10_0
    | epred9_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_406,c_0_407]) ).

cnf(c_0_444,plain,
    ( epred6_0
    | epred5_0
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_409]),c_0_410]) ).

cnf(c_0_445,plain,
    ( epred4_0
    | epred3_0
    | ~ epred18_0 ),
    inference(spm,[status(thm)],[c_0_411,c_0_412]) ).

cnf(c_0_446,plain,
    ( epred6_0
    | epred5_0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_414]),c_0_415]) ).

cnf(c_0_447,plain,
    ( epred10_0
    | epred9_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_416,c_0_417]) ).

cnf(c_0_448,plain,
    ( f7($false)
    | x
    | epred2_0
    | ~ f6($false) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_449,plain,
    ( epred2_0
    | f6($true)
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[c_0_418,c_0_419]) ).

cnf(c_0_450,plain,
    ( epred1_0
    | ~ f6($true)
    | ~ f6($true)
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_228]) ).

cnf(c_0_451,plain,
    ( epred23_0
    | ~ epred21_0
    | ~ epred20_0
    | ~ epred21_0
    | ~ epred20_0 ),
    inference(split_conjunct,[status(thm)],[c_0_176]) ).

cnf(c_0_452,plain,
    ( epred21_0
    | f5($false)
    | ~ f4($false)
    | ~ epred22_0 ),
    inference(split_conjunct,[status(thm)],[c_0_177]) ).

cnf(c_0_453,plain,
    ( epred4_0
    | f5($false)
    | f4($false)
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_316]) ).

cnf(c_0_454,plain,
    ( epred21_0
    | epred4_0
    | ~ epred22_0
    | ~ epred6_0
    | ~ f5($false) ),
    inference(spm,[status(thm)],[c_0_420,c_0_421]) ).

cnf(c_0_455,plain,
    ( epred19_0
    | f5($false)
    | f5($false)
    | ~ epred21_0 ),
    inference(split_conjunct,[status(thm)],[c_0_188]) ).

cnf(c_0_456,plain,
    ( epred10_0
    | f2($false)
    | f2($false)
    | ~ epred12_0 ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_457,plain,
    ( epred30_0
    | epred12_0
    | ~ epred28_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_423]),c_0_424]),c_0_68]) ).

cnf(c_0_458,negated_conjecture,
    ( epred27_0
    | epred13_0
    | ~ epred29_0
    | ~ epred14_0 ),
    inference(spm,[status(thm)],[c_0_128,c_0_425]) ).

cnf(c_0_459,plain,
    ( epred29_0
    | epred28_0
    | ~ epred26_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_387]),c_0_426]) ).

cnf(c_0_460,plain,
    ( epred28_0
    | epred14_0
    | ~ epred26_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_387]),c_0_426]) ).

cnf(c_0_461,plain,
    ( epred28_0
    | ~ epred26_0
    | ~ epred27_0 ),
    inference(cn,[status(thm)],[c_0_428]) ).

cnf(c_0_462,plain,
    ( epred12_0
    | ~ f1($false)
    | ~ f0($true)
    | ~ epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_463,plain,
    ( epred12_0
    | f1($false)
    | ~ epred14_0
    | ~ epred13_0 ),
    inference(spm,[status(thm)],[c_0_429,c_0_383]) ).

cnf(c_0_464,plain,
    ( epred27_0
    | ~ epred29_0
    | ~ epred28_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_333]),c_0_385]) ).

cnf(c_0_465,plain,
    ( epred29_0
    | epred14_0
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_432]),c_0_433]),c_0_68]) ).

cnf(c_0_466,plain,
    ( f2($false)
    | f2($false)
    | epred11_0
    | ~ epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_160]) ).

cnf(c_0_467,plain,
    ( epred7_0
    | ~ f3($true)
    | ~ f2($true)
    | ~ epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_168]) ).

cnf(c_0_468,plain,
    ( f3($false)
    | f3($true)
    | epred10_0
    | ~ f2($false) ),
    inference(split_conjunct,[status(thm)],[c_0_268]) ).

cnf(c_0_469,plain,
    ( f2($false)
    | f3($false)
    | f3($true)
    | epred26_0 ),
    inference(split_conjunct,[status(thm)],[c_0_141]) ).

cnf(c_0_470,plain,
    ( epred7_0
    | f2($true)
    | ~ f3($true)
    | ~ epred10_0 ),
    inference(split_conjunct,[status(thm)],[c_0_268]) ).

cnf(c_0_471,plain,
    ( f5($false)
    | f5($true)
    | epred23_0
    | ~ f4($false) ),
    inference(split_conjunct,[status(thm)],[c_0_176]) ).

cnf(c_0_472,plain,
    ( f4($false)
    | f5($false)
    | f5($true)
    | epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_313]) ).

cnf(c_0_473,plain,
    ( ~ epred16_0
    | ~ f7($true)
    | ~ f7($false) ),
    inference(csr,[status(thm)],[c_0_434,c_0_336]) ).

cnf(c_0_474,plain,
    ( ~ epred17_0
    | ~ epred16_0
    | ~ x ),
    inference(spm,[status(thm)],[c_0_336,c_0_435]) ).

cnf(c_0_475,plain,
    ( epred17_0
    | epred2_0
    | ~ epred19_0
    | ~ f6($true) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_436]),c_0_322]) ).

cnf(c_0_476,plain,
    ( epred16_0
    | epred2_0
    | ~ epred19_0
    | ~ f6($true) ),
    inference(spm,[status(thm)],[c_0_149,c_0_437]) ).

cnf(c_0_477,plain,
    ( epred23_0
    | epred22_0
    | ~ epred19_0 ),
    inference(spm,[status(thm)],[c_0_357,c_0_438]) ).

cnf(c_0_478,plain,
    ( epred19_0
    | epred18_0
    | ~ epred1_0 ),
    inference(spm,[status(thm)],[c_0_439,c_0_440]) ).

cnf(c_0_479,plain,
    ( epred19_0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_441]),c_0_402]) ).

cnf(c_0_480,plain,
    ( epred26_0
    | epred9_0
    | ~ epred18_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_442,c_0_443]) ).

cnf(c_0_481,plain,
    ( epred6_0
    | epred5_0
    | ~ epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_444,c_0_445]),c_0_446]) ).

cnf(c_0_482,plain,
    ( epred26_0
    | epred9_0
    | ~ epred18_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_442,c_0_447]) ).

cnf(c_0_483,plain,
    ( epred2_0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_448]),c_0_276]),c_0_231]),c_0_322]) ).

cnf(c_0_484,plain,
    ( epred26_0
    | epred10_0
    | ~ epred25_0
    | ~ epred8_0
    | ~ f3($true) ),
    inference(spm,[status(thm)],[c_0_309,c_0_173]) ).

cnf(c_0_485,plain,
    ( epred2_0
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_419]),c_0_449]) ).

cnf(c_0_486,plain,
    ( epred1_0
    | f6($true)
    | ~ f6($false)
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_228]) ).

cnf(c_0_487,plain,
    ( epred1_0
    | ~ epred3_0
    | ~ f6($true) ),
    inference(cn,[status(thm)],[c_0_450]) ).

cnf(c_0_488,plain,
    ( epred23_0
    | ~ epred20_0
    | ~ epred21_0 ),
    inference(cn,[status(thm)],[c_0_451]) ).

cnf(c_0_489,plain,
    ( epred21_0
    | epred4_0
    | ~ epred22_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_453]),c_0_454]) ).

cnf(c_0_490,plain,
    ( epred19_0
    | f5($true)
    | ~ f5($false)
    | ~ epred21_0 ),
    inference(split_conjunct,[status(thm)],[c_0_188]) ).

cnf(c_0_491,plain,
    ( epred19_0
    | f5($false)
    | ~ epred21_0 ),
    inference(cn,[status(thm)],[c_0_455]) ).

cnf(c_0_492,plain,
    ( epred21_0
    | f4($true)
    | ~ f5($false)
    | ~ epred23_0 ),
    inference(split_conjunct,[status(thm)],[c_0_176]) ).

cnf(c_0_493,plain,
    ( epred20_0
    | ~ f5($true)
    | ~ f4($true)
    | ~ epred22_0 ),
    inference(split_conjunct,[status(thm)],[c_0_177]) ).

cnf(c_0_494,plain,
    ( epred20_0
    | f4($true)
    | ~ f5($true)
    | ~ epred23_0 ),
    inference(split_conjunct,[status(thm)],[c_0_176]) ).

cnf(c_0_495,plain,
    ( epred23_0
    | f3($false)
    | f3($false)
    | ~ epred25_0 ),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_496,plain,
    ( epred10_0
    | f2($true)
    | ~ f2($false)
    | ~ epred12_0 ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_497,plain,
    ( epred10_0
    | f2($false)
    | ~ epred12_0 ),
    inference(cn,[status(thm)],[c_0_456]) ).

cnf(c_0_498,negated_conjecture,
    ( epred12_0
    | ~ epred28_0
    | ~ epred14_0 ),
    inference(spm,[status(thm)],[c_0_128,c_0_457]) ).

cnf(c_0_499,plain,
    ( epred28_0
    | epred13_0
    | ~ epred26_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_459]),c_0_460]),c_0_461]) ).

cnf(c_0_500,plain,
    ( epred12_0
    | ~ epred14_0
    | ~ epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_462,c_0_423]),c_0_463]) ).

cnf(c_0_501,plain,
    ( epred27_0
    | epred14_0
    | ~ epred28_0
    | ~ epred11_0 ),
    inference(spm,[status(thm)],[c_0_464,c_0_465]) ).

cnf(c_0_502,plain,
    ( f2($true)
    | epred11_0
    | ~ f2($false)
    | ~ epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_160]) ).

cnf(c_0_503,plain,
    ( epred11_0
    | f2($false)
    | ~ epred9_0 ),
    inference(cn,[status(thm)],[c_0_466]) ).

cnf(c_0_504,plain,
    ( epred5_0
    | ~ f4($true)
    | ~ f4($true)
    | ~ epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_234]) ).

cnf(c_0_505,plain,
    ( epred7_0
    | f3($true)
    | ~ f2($false)
    | ~ epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_168]) ).

cnf(c_0_506,plain,
    ( epred26_0
    | epred7_0
    | ~ epred25_0
    | ~ epred9_0
    | ~ f3($true) ),
    inference(spm,[status(thm)],[c_0_467,c_0_173]) ).

cnf(c_0_507,plain,
    ( epred26_0
    | epred10_0
    | f3($false)
    | f3($true) ),
    inference(spm,[status(thm)],[c_0_468,c_0_469]) ).

cnf(c_0_508,plain,
    ( epred7_0
    | f3($true)
    | f2($false)
    | ~ epred10_0 ),
    inference(split_conjunct,[status(thm)],[c_0_268]) ).

cnf(c_0_509,plain,
    ( epred7_0
    | ~ epred10_0
    | ~ epred9_0
    | ~ f3($true) ),
    inference(spm,[status(thm)],[c_0_467,c_0_470]) ).

cnf(c_0_510,plain,
    ( epred23_0
    | epred5_0
    | ~ epred21_0
    | ~ epred4_0
    | ~ f5($true) ),
    inference(spm,[status(thm)],[c_0_220,c_0_368]) ).

cnf(c_0_511,plain,
    ( epred23_0
    | epred5_0
    | f5($false)
    | f5($true) ),
    inference(spm,[status(thm)],[c_0_471,c_0_472]) ).

cnf(c_0_512,plain,
    ( ~ epred17_0
    | ~ epred16_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_39]),c_0_58]),c_0_474]) ).

cnf(c_0_513,plain,
    ( epred17_0
    | epred2_0
    | ~ epred19_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_448]),c_0_436]),c_0_393]),c_0_475]) ).

cnf(c_0_514,plain,
    ( epred16_0
    | epred2_0
    | ~ epred19_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_184]),c_0_394]),c_0_437]),c_0_476]) ).

cnf(c_0_515,plain,
    ( epred26_0
    | epred9_0
    | ~ epred19_0
    | ~ epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_477]),c_0_405]) ).

cnf(c_0_516,plain,
    ( epred19_0
    | epred18_0 ),
    inference(spm,[status(thm)],[c_0_478,c_0_479]) ).

cnf(c_0_517,plain,
    ( epred26_0
    | epred9_0
    | ~ epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_481]),c_0_482]) ).

cnf(c_0_518,plain,
    ( epred4_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_371,c_0_483]) ).

cnf(c_0_519,plain,
    ( epred26_0
    | ~ epred25_0
    | ~ epred24_0
    | ~ epred25_0
    | ~ epred24_0 ),
    inference(split_conjunct,[status(thm)],[c_0_141]) ).

cnf(c_0_520,plain,
    ( epred26_0
    | epred10_0
    | ~ epred25_0
    | ~ epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_213]),c_0_484]) ).

cnf(c_0_521,plain,
    ( epred19_0
    | ~ epred4_0
    | ~ epred1_0 ),
    inference(spm,[status(thm)],[c_0_439,c_0_485]) ).

cnf(c_0_522,plain,
    ( epred1_0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_486,c_0_117]),c_0_487]) ).

cnf(c_0_523,plain,
    ( epred23_0
    | epred4_0
    | ~ epred6_0
    | ~ f5($true)
    | ~ f5($false) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_421]),c_0_263]) ).

cnf(c_0_524,plain,
    ( epred23_0
    | epred4_0
    | ~ epred20_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_489]),c_0_357]) ).

cnf(c_0_525,plain,
    ( epred17_0
    | ~ epred1_0
    | ~ f6($false)
    | ~ x ),
    inference(spm,[status(thm)],[c_0_86,c_0_190]) ).

cnf(c_0_526,plain,
    ( epred16_0
    | x
    | ~ epred1_0
    | ~ f6($true) ),
    inference(spm,[status(thm)],[c_0_290,c_0_88]) ).

cnf(c_0_527,plain,
    ( epred6_0
    | ~ f5($false)
    | ~ f5($true)
    | ~ f4($true) ),
    inference(split_conjunct,[status(thm)],[c_0_316]) ).

cnf(c_0_528,plain,
    ( f4($true)
    | epred22_0
    | ~ f5($false)
    | ~ f5($true) ),
    inference(split_conjunct,[status(thm)],[c_0_177]) ).

cnf(c_0_529,plain,
    ( epred4_0
    | ~ f5($false)
    | ~ f4($true)
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_313]) ).

cnf(c_0_530,plain,
    ( epred19_0
    | ~ f5($false)
    | ~ f5($true)
    | ~ epred20_0 ),
    inference(split_conjunct,[status(thm)],[c_0_145]) ).

cnf(c_0_531,plain,
    ( epred19_0
    | f5($true)
    | ~ epred21_0 ),
    inference(csr,[status(thm)],[c_0_490,c_0_491]) ).

cnf(c_0_532,plain,
    ( epred21_0
    | f5($false)
    | f4($false)
    | ~ epred23_0 ),
    inference(split_conjunct,[status(thm)],[c_0_176]) ).

cnf(c_0_533,plain,
    ( epred21_0
    | ~ epred23_0
    | ~ epred22_0
    | ~ f5($false) ),
    inference(spm,[status(thm)],[c_0_420,c_0_492]) ).

cnf(c_0_534,plain,
    ( epred20_0
    | f5($true)
    | ~ f4($false)
    | ~ epred22_0 ),
    inference(split_conjunct,[status(thm)],[c_0_177]) ).

cnf(c_0_535,plain,
    ( epred20_0
    | f5($true)
    | f4($false)
    | ~ epred23_0 ),
    inference(split_conjunct,[status(thm)],[c_0_176]) ).

cnf(c_0_536,plain,
    ( epred20_0
    | ~ epred23_0
    | ~ epred22_0
    | ~ f5($true) ),
    inference(spm,[status(thm)],[c_0_493,c_0_494]) ).

cnf(c_0_537,plain,
    ( epred23_0
    | f3($true)
    | ~ f3($false)
    | ~ epred25_0 ),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_538,plain,
    ( epred23_0
    | f3($false)
    | ~ epred25_0 ),
    inference(cn,[status(thm)],[c_0_495]) ).

cnf(c_0_539,plain,
    ( epred25_0
    | f3($false)
    | ~ f2($false)
    | ~ epred26_0 ),
    inference(split_conjunct,[status(thm)],[c_0_141]) ).

cnf(c_0_540,plain,
    ( epred25_0
    | f3($false)
    | f2($false)
    | ~ epred27_0 ),
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

cnf(c_0_541,plain,
    ( epred24_0
    | ~ f3($true)
    | ~ f2($true)
    | ~ epred26_0 ),
    inference(split_conjunct,[status(thm)],[c_0_141]) ).

cnf(c_0_542,plain,
    ( epred24_0
    | f2($true)
    | ~ f3($true)
    | ~ epred27_0 ),
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

cnf(c_0_543,plain,
    ( epred8_0
    | f3($false)
    | f2($false)
    | ~ epred10_0 ),
    inference(split_conjunct,[status(thm)],[c_0_268]) ).

cnf(c_0_544,plain,
    ( epred18_0
    | ~ f5($true)
    | ~ f5($true)
    | ~ epred20_0 ),
    inference(split_conjunct,[status(thm)],[c_0_145]) ).

cnf(c_0_545,plain,
    ( epred10_0
    | ~ f2($false)
    | ~ f2($true) ),
    inference(split_conjunct,[status(thm)],[c_0_268]) ).

cnf(c_0_546,plain,
    ( epred10_0
    | f2($true)
    | ~ epred12_0 ),
    inference(csr,[status(thm)],[c_0_496,c_0_497]) ).

cnf(c_0_547,plain,
    ( epred12_0
    | ~ epred26_0
    | ~ epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_498,c_0_499]),c_0_500]) ).

cnf(c_0_548,plain,
    ( epred27_0
    | epred14_0
    | ~ epred26_0
    | ~ epred11_0 ),
    inference(spm,[status(thm)],[c_0_501,c_0_460]) ).

cnf(c_0_549,plain,
    ( epred11_0
    | f2($true)
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[c_0_502,c_0_503]) ).

cnf(c_0_550,plain,
    ( epred11_0
    | ~ epred10_0
    | ~ epred9_0
    | ~ epred10_0
    | ~ epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_160]) ).

cnf(c_0_551,plain,
    ( epred6_0
    | f4($false)
    | f4($false)
    | ~ epred8_0 ),
    inference(split_conjunct,[status(thm)],[c_0_269]) ).

cnf(c_0_552,plain,
    ( epred8_0
    | f3($false)
    | ~ f2($false)
    | ~ epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_168]) ).

cnf(c_0_553,plain,
    ( epred5_0
    | f4($true)
    | ~ f4($false)
    | ~ epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_234]) ).

cnf(c_0_554,plain,
    ( epred5_0
    | ~ epred7_0
    | ~ f4($true) ),
    inference(cn,[status(thm)],[c_0_504]) ).

cnf(c_0_555,plain,
    ( epred26_0
    | epred7_0
    | ~ epred25_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_213]),c_0_506]) ).

cnf(c_0_556,plain,
    ( epred26_0
    | epred25_0
    | epred10_0
    | ~ epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_507]),c_0_175]) ).

cnf(c_0_557,plain,
    ( epred7_0
    | ~ epred10_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_508]),c_0_509]) ).

cnf(c_0_558,plain,
    ( epred23_0
    | epred5_0
    | ~ epred21_0
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_409]),c_0_510]) ).

cnf(c_0_559,plain,
    ( epred23_0
    | epred21_0
    | epred5_0
    | ~ epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_511]),c_0_285]) ).

cnf(c_0_560,plain,
    ( epred2_0
    | ~ epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_513]),c_0_514]) ).

cnf(c_0_561,plain,
    ( epred26_0
    | epred9_0
    | ~ epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_516]),c_0_517]) ).

cnf(c_0_562,plain,
    ( epred4_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_411,c_0_518]) ).

cnf(c_0_563,plain,
    ( epred26_0
    | ~ epred24_0
    | ~ epred25_0 ),
    inference(cn,[status(thm)],[c_0_519]) ).

cnf(c_0_564,plain,
    ( epred26_0
    | epred24_0
    | epred10_0
    | ~ epred23_0
    | ~ epred8_0 ),
    inference(spm,[status(thm)],[c_0_520,c_0_254]) ).

cnf(c_0_565,plain,
    ( epred19_0
    | ~ epred4_0
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_521,c_0_522]) ).

cnf(c_0_566,plain,
    ( epred23_0
    | epred4_0
    | ~ epred18_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_223]),c_0_264]),c_0_524]) ).

cnf(c_0_567,plain,
    ( epred19_0
    | epred18_0
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_478,c_0_522]) ).

cnf(c_0_568,plain,
    ( epred17_0
    | ~ epred19_0
    | ~ epred1_0
    | ~ x ),
    inference(spm,[status(thm)],[c_0_525,c_0_339]) ).

cnf(c_0_569,plain,
    ( epred16_0
    | x
    | ~ epred19_0
    | ~ epred1_0 ),
    inference(spm,[status(thm)],[c_0_526,c_0_341]) ).

cnf(c_0_570,plain,
    ( epred22_0
    | epred6_0
    | ~ f5($true)
    | ~ f5($false) ),
    inference(spm,[status(thm)],[c_0_527,c_0_528]) ).

cnf(c_0_571,plain,
    ( epred4_0
    | f5($false)
    | ~ f4($false)
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_313]) ).

cnf(c_0_572,plain,
    ( epred21_0
    | epred4_0
    | ~ epred23_0
    | ~ epred5_0
    | ~ f5($false) ),
    inference(spm,[status(thm)],[c_0_529,c_0_492]) ).

cnf(c_0_573,plain,
    ( epred4_0
    | ~ epred6_0
    | ~ epred5_0
    | ~ f5($false) ),
    inference(spm,[status(thm)],[c_0_529,c_0_421]) ).

cnf(c_0_574,plain,
    ( epred19_0
    | ~ epred21_0
    | ~ epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_530,c_0_491]),c_0_531]) ).

cnf(c_0_575,plain,
    ( epred21_0
    | ~ epred23_0
    | ~ epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_532]),c_0_533]) ).

cnf(c_0_576,plain,
    ( epred20_0
    | ~ epred23_0
    | ~ epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_535]),c_0_536]) ).

cnf(c_0_577,plain,
    ( epred27_0
    | ~ f3($false)
    | ~ f3($true)
    | ~ f2($true) ),
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

cnf(c_0_578,plain,
    ( f2($true)
    | epred9_0
    | ~ f3($false)
    | ~ f3($true) ),
    inference(split_conjunct,[status(thm)],[c_0_168]) ).

cnf(c_0_579,plain,
    ( epred23_0
    | ~ f3($false)
    | ~ f3($true)
    | ~ epred24_0 ),
    inference(split_conjunct,[status(thm)],[c_0_113]) ).

cnf(c_0_580,plain,
    ( epred23_0
    | f3($true)
    | ~ epred25_0 ),
    inference(csr,[status(thm)],[c_0_537,c_0_538]) ).

cnf(c_0_581,plain,
    ( epred25_0
    | ~ f3($false)
    | ~ f2($true)
    | ~ epred26_0 ),
    inference(split_conjunct,[status(thm)],[c_0_141]) ).

cnf(c_0_582,plain,
    ( epred25_0
    | f2($true)
    | ~ f3($false)
    | ~ epred27_0 ),
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

cnf(c_0_583,plain,
    ( epred25_0
    | f3($false)
    | ~ epred27_0
    | ~ epred26_0 ),
    inference(spm,[status(thm)],[c_0_539,c_0_540]) ).

cnf(c_0_584,plain,
    ( epred24_0
    | f3($true)
    | ~ f2($false)
    | ~ epred26_0 ),
    inference(split_conjunct,[status(thm)],[c_0_141]) ).

cnf(c_0_585,plain,
    ( epred24_0
    | f3($true)
    | f2($false)
    | ~ epred27_0 ),
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

cnf(c_0_586,plain,
    ( epred24_0
    | ~ epred27_0
    | ~ epred26_0
    | ~ f3($true) ),
    inference(spm,[status(thm)],[c_0_541,c_0_542]) ).

cnf(c_0_587,plain,
    ( epred9_0
    | ~ epred8_0
    | ~ epred7_0
    | ~ epred8_0
    | ~ epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_168]) ).

cnf(c_0_588,plain,
    ( epred8_0
    | f2($true)
    | ~ f3($false)
    | ~ epred10_0 ),
    inference(split_conjunct,[status(thm)],[c_0_268]) ).

cnf(c_0_589,plain,
    ( epred27_0
    | epred8_0
    | f3($false)
    | ~ epred24_0
    | ~ epred10_0 ),
    inference(spm,[status(thm)],[c_0_210,c_0_543]) ).

cnf(c_0_590,plain,
    ( f5($false)
    | f5($true)
    | epred6_0
    | ~ f4($false) ),
    inference(split_conjunct,[status(thm)],[c_0_316]) ).

cnf(c_0_591,plain,
    ( f4($false)
    | f5($false)
    | f5($true)
    | epred22_0 ),
    inference(split_conjunct,[status(thm)],[c_0_177]) ).

cnf(c_0_592,plain,
    ( ~ epred2_0
    | ~ epred1_0
    | ~ f6($true) ),
    inference(spm,[status(thm)],[c_0_349,c_0_397]) ).

cnf(c_0_593,plain,
    ( epred18_0
    | f5($true)
    | ~ f5($false)
    | ~ epred20_0 ),
    inference(split_conjunct,[status(thm)],[c_0_145]) ).

cnf(c_0_594,plain,
    ( epred18_0
    | ~ epred20_0
    | ~ f5($true) ),
    inference(cn,[status(thm)],[c_0_544]) ).

cnf(c_0_595,plain,
    ( epred10_0
    | ~ epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_497]),c_0_546]) ).

cnf(c_0_596,plain,
    ( epred27_0
    | epred12_0
    | ~ epred26_0
    | ~ epred11_0 ),
    inference(spm,[status(thm)],[c_0_547,c_0_548]) ).

cnf(c_0_597,plain,
    ( epred12_0
    | epred11_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_503]),c_0_549]) ).

cnf(c_0_598,plain,
    ( epred11_0
    | ~ epred9_0
    | ~ epred10_0 ),
    inference(cn,[status(thm)],[c_0_550]) ).

cnf(c_0_599,plain,
    ( epred22_0
    | f3($true)
    | f3($false)
    | ~ epred25_0 ),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_600,plain,
    ( epred6_0
    | f4($true)
    | ~ f4($false)
    | ~ epred8_0 ),
    inference(split_conjunct,[status(thm)],[c_0_269]) ).

cnf(c_0_601,plain,
    ( epred6_0
    | f4($false)
    | ~ epred8_0 ),
    inference(cn,[status(thm)],[c_0_551]) ).

cnf(c_0_602,plain,
    ( epred8_0
    | ~ f3($false)
    | ~ f2($true)
    | ~ epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_168]) ).

cnf(c_0_603,plain,
    ( epred25_0
    | epred8_0
    | f3($false)
    | ~ epred27_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_552,c_0_540]) ).

cnf(c_0_604,plain,
    ( epred5_0
    | ~ epred7_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_553,c_0_364]),c_0_554]) ).

cnf(c_0_605,plain,
    ( epred26_0
    | epred7_0
    | ~ epred23_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_555,c_0_556]),c_0_557]) ).

cnf(c_0_606,plain,
    ( epred23_0
    | epred5_0
    | ~ epred19_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_558,c_0_559]) ).

cnf(c_0_607,plain,
    ( epred4_0
    | ~ epred19_0 ),
    inference(spm,[status(thm)],[c_0_371,c_0_560]) ).

cnf(c_0_608,plain,
    ( epred26_0
    | epred9_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_561,c_0_443]) ).

cnf(c_0_609,plain,
    ( epred6_0
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_444,c_0_562]),c_0_446]) ).

cnf(c_0_610,plain,
    ( epred26_0
    | epred9_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_561,c_0_447]) ).

cnf(c_0_611,plain,
    ( epred26_0
    | epred10_0
    | ~ epred24_0
    | ~ epred23_0 ),
    inference(spm,[status(thm)],[c_0_563,c_0_556]) ).

cnf(c_0_612,plain,
    ( epred26_0
    | epred24_0
    | epred10_0
    | ~ epred23_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_564,c_0_407]) ).

cnf(c_0_613,plain,
    ( epred23_0
    | epred19_0
    | ~ epred6_0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_565,c_0_566]),c_0_567]) ).

cnf(c_0_614,plain,
    ( epred19_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_411,c_0_479]) ).

cnf(c_0_615,plain,
    ( epred17_0
    | f6($false)
    | ~ epred19_0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_282]),c_0_392]),c_0_568]) ).

cnf(c_0_616,plain,
    ( epred16_0
    | f6($false)
    | ~ epred19_0
    | ~ epred1_0
    | ~ f6($true) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_342]),c_0_569]) ).

cnf(c_0_617,plain,
    ( epred22_0
    | epred19_0
    | epred6_0
    | ~ epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_570,c_0_491]),c_0_531]) ).

cnf(c_0_618,plain,
    ( epred21_0
    | epred4_0
    | ~ epred23_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_532]),c_0_572]) ).

cnf(c_0_619,plain,
    ( epred4_0
    | ~ epred6_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_453]),c_0_573]) ).

cnf(c_0_620,plain,
    ( epred19_0
    | ~ epred23_0
    | ~ epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_574,c_0_575]),c_0_576]) ).

cnf(c_0_621,plain,
    ( epred27_0
    | epred9_0
    | ~ f3($true)
    | ~ f3($false) ),
    inference(spm,[status(thm)],[c_0_577,c_0_578]) ).

cnf(c_0_622,plain,
    ( epred25_0
    | epred9_0
    | f3($false)
    | ~ epred26_0
    | ~ epred7_0 ),
    inference(spm,[status(thm)],[c_0_539,c_0_326]) ).

cnf(c_0_623,plain,
    ( epred23_0
    | ~ epred25_0
    | ~ epred24_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_579,c_0_538]),c_0_580]) ).

cnf(c_0_624,plain,
    ( epred25_0
    | ~ epred27_0
    | ~ epred26_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_581,c_0_582]),c_0_583]) ).

cnf(c_0_625,plain,
    ( epred24_0
    | ~ epred27_0
    | ~ epred26_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_584,c_0_585]),c_0_586]) ).

cnf(c_0_626,plain,
    ( epred9_0
    | ~ epred7_0
    | ~ epred8_0 ),
    inference(cn,[status(thm)],[c_0_587]) ).

cnf(c_0_627,plain,
    ( epred27_0
    | epred8_0
    | ~ epred24_0
    | ~ epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_588]),c_0_589]) ).

cnf(c_0_628,plain,
    ( epred22_0
    | epred6_0
    | ~ epred21_0
    | ~ epred4_0
    | ~ f5($true) ),
    inference(spm,[status(thm)],[c_0_367,c_0_221]) ).

cnf(c_0_629,plain,
    ( epred22_0
    | epred6_0
    | f5($false)
    | f5($true) ),
    inference(spm,[status(thm)],[c_0_590,c_0_591]) ).

cnf(c_0_630,plain,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_291]),c_0_397]),c_0_345]),c_0_592]) ).

cnf(c_0_631,plain,
    ( epred3_0
    | f4($true)
    | ~ f5($true)
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_316]) ).

cnf(c_0_632,plain,
    ( epred3_0
    | ~ f5($true)
    | ~ f4($true)
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_313]) ).

cnf(c_0_633,plain,
    ( epred18_0
    | ~ epred20_0
    | ~ f5($false) ),
    inference(csr,[status(thm)],[c_0_593,c_0_594]) ).

cnf(c_0_634,plain,
    ( epred18_0
    | f5($true)
    | f5($false)
    | ~ epred21_0 ),
    inference(split_conjunct,[status(thm)],[c_0_188]) ).

cnf(c_0_635,plain,
    ( epred27_0
    | epred10_0
    | ~ epred26_0
    | ~ epred11_0 ),
    inference(spm,[status(thm)],[c_0_595,c_0_596]) ).

cnf(c_0_636,plain,
    ( epred11_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_595,c_0_597]),c_0_598]) ).

cnf(c_0_637,plain,
    ( epred22_0
    | ~ epred25_0
    | ~ epred24_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_599]),c_0_209]) ).

cnf(c_0_638,plain,
    ( epred6_0
    | f4($true)
    | ~ epred8_0 ),
    inference(csr,[status(thm)],[c_0_600,c_0_601]) ).

cnf(c_0_639,plain,
    ( epred25_0
    | epred8_0
    | ~ epred27_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_602,c_0_582]),c_0_603]) ).

cnf(c_0_640,plain,
    ( epred10_0
    | ~ f3($false)
    | ~ f3($true)
    | ~ f2($true) ),
    inference(split_conjunct,[status(thm)],[c_0_268]) ).

cnf(c_0_641,plain,
    ( f2($true)
    | epred26_0
    | ~ f3($false)
    | ~ f3($true) ),
    inference(split_conjunct,[status(thm)],[c_0_141]) ).

cnf(c_0_642,plain,
    ( epred8_0
    | f3($false)
    | ~ epred10_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_552,c_0_543]) ).

cnf(c_0_643,plain,
    ( epred26_0
    | epred5_0
    | ~ epred23_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_604,c_0_605]) ).

cnf(c_0_644,plain,
    ( epred23_0
    | epred5_0
    | ~ epred19_0 ),
    inference(spm,[status(thm)],[c_0_606,c_0_607]) ).

cnf(c_0_645,plain,
    ( epred26_0
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_608,c_0_609]),c_0_610]) ).

cnf(c_0_646,plain,
    ( epred26_0
    | epred10_0
    | ~ epred23_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_611,c_0_612]) ).

cnf(c_0_647,plain,
    ( epred23_0
    | epred19_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_613,c_0_614]) ).

cnf(c_0_648,plain,
    ( epred6_0
    | ~ epred4_0
    | ~ epred3_0
    | ~ epred4_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_316]) ).

cnf(c_0_649,plain,
    ( epred22_0
    | epred4_0
    | ~ epred20_0
    | ~ epred5_0
    | ~ f5($false) ),
    inference(spm,[status(thm)],[c_0_529,c_0_259]) ).

cnf(c_0_650,plain,
    ( epred17_0
    | ~ epred19_0
    | ~ epred1_0
    | ~ f6($true) ),
    inference(spm,[status(thm)],[c_0_349,c_0_615]) ).

cnf(c_0_651,plain,
    ( epred17_0
    | f6($true)
    | ~ epred19_0
    | ~ epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_186]),c_0_392]) ).

cnf(c_0_652,plain,
    ( epred16_0
    | ~ epred19_0
    | ~ epred1_0
    | ~ f6($true) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_616]),c_0_569]) ).

cnf(c_0_653,plain,
    ( epred19_0
    | epred4_0
    | ~ epred23_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_617,c_0_618]),c_0_619]),c_0_620]) ).

cnf(c_0_654,plain,
    ( epred27_0
    | epred23_0
    | epred9_0
    | ~ epred25_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_621,c_0_538]),c_0_580]) ).

cnf(c_0_655,plain,
    ( epred25_0
    | epred9_0
    | ~ epred26_0
    | ~ epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_581,c_0_376]),c_0_622]) ).

cnf(c_0_656,plain,
    ( epred23_0
    | ~ epred27_0
    | ~ epred26_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_623,c_0_624]),c_0_625]) ).

cnf(c_0_657,plain,
    ( epred27_0
    | epred9_0
    | ~ epred24_0
    | ~ epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_626,c_0_627]),c_0_416]) ).

cnf(c_0_658,plain,
    ( epred27_0
    | epred24_0
    | epred9_0
    | ~ epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_621,c_0_180]),c_0_225]) ).

cnf(c_0_659,plain,
    ( f3($false)
    | f3($true)
    | epred27_0
    | ~ f2($false) ),
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

cnf(c_0_660,plain,
    ( f2($false)
    | f3($false)
    | f3($true)
    | epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_168]) ).

cnf(c_0_661,plain,
    ( epred24_0
    | epred9_0
    | ~ epred26_0
    | ~ epred8_0
    | ~ f3($true) ),
    inference(spm,[status(thm)],[c_0_541,c_0_310]) ).

cnf(c_0_662,plain,
    ( epred22_0
    | epred6_0
    | ~ epred21_0
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_261]),c_0_628]) ).

cnf(c_0_663,plain,
    ( epred22_0
    | epred21_0
    | epred6_0
    | ~ epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_629]),c_0_285]) ).

cnf(c_0_664,plain,
    ( ~ epred4_0
    | ~ epred1_0 ),
    inference(spm,[status(thm)],[c_0_630,c_0_485]) ).

cnf(c_0_665,plain,
    ( epred18_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_448]),c_0_350]),c_0_293]),c_0_294]),c_0_399]) ).

cnf(c_0_666,plain,
    ( epred3_0
    | f5($true)
    | f4($false)
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_316]) ).

cnf(c_0_667,plain,
    ( epred20_0
    | epred3_0
    | ~ epred22_0
    | ~ epred6_0
    | ~ f5($true) ),
    inference(spm,[status(thm)],[c_0_493,c_0_631]) ).

cnf(c_0_668,plain,
    ( epred3_0
    | f5($true)
    | ~ f4($false)
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_313]) ).

cnf(c_0_669,plain,
    ( epred3_0
    | ~ epred6_0
    | ~ epred5_0
    | ~ f5($true) ),
    inference(spm,[status(thm)],[c_0_632,c_0_631]) ).

cnf(c_0_670,plain,
    ( epred18_0
    | ~ epred21_0
    | ~ epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_633,c_0_634]),c_0_594]) ).

cnf(c_0_671,plain,
    ( epred27_0
    | epred10_0
    | ~ epred26_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_635,c_0_636]) ).

cnf(c_0_672,plain,
    ( epred22_0
    | ~ epred27_0
    | ~ epred26_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_637,c_0_624]),c_0_625]) ).

cnf(c_0_673,plain,
    ( epred6_0
    | ~ epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_601]),c_0_638]) ).

cnf(c_0_674,plain,
    ( epred26_0
    | epred8_0
    | ~ epred24_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_639]),c_0_307]) ).

cnf(c_0_675,plain,
    ( epred26_0
    | epred10_0
    | ~ f3($true)
    | ~ f3($false) ),
    inference(spm,[status(thm)],[c_0_640,c_0_641]) ).

cnf(c_0_676,plain,
    ( epred8_0
    | ~ epred10_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_602,c_0_588]),c_0_642]) ).

cnf(c_0_677,plain,
    ( epred26_0
    | epred5_0
    | ~ epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_643,c_0_644]),c_0_645]) ).

cnf(c_0_678,plain,
    ( epred26_0
    | epred19_0
    | epred10_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_646,c_0_647]) ).

cnf(c_0_679,plain,
    ( epred6_0
    | ~ epred3_0
    | ~ epred4_0 ),
    inference(cn,[status(thm)],[c_0_648]) ).

cnf(c_0_680,plain,
    ( epred22_0
    | epred4_0
    | ~ epred20_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_303]),c_0_649]) ).

cnf(c_0_681,plain,
    ( epred30_0
    | ~ epred29_0
    | ~ epred28_0
    | ~ epred29_0
    | ~ epred28_0 ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_682,plain,
    ( epred17_0
    | ~ epred19_0
    | ~ epred18_0
    | ~ epred1_0 ),
    inference(spm,[status(thm)],[c_0_650,c_0_651]) ).

cnf(c_0_683,plain,
    ( epred16_0
    | ~ epred19_0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_190]),c_0_569]),c_0_395]),c_0_652]) ).

cnf(c_0_684,plain,
    ( epred19_0
    | ~ epred23_0
    | ~ epred5_0
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_565,c_0_653]) ).

cnf(c_0_685,plain,
    ( epred23_0
    | epred9_0
    | ~ epred26_0
    | ~ epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_654,c_0_655]),c_0_656]) ).

cnf(c_0_686,plain,
    ( epred27_0
    | epred9_0
    | ~ epred22_0
    | ~ epred7_0 ),
    inference(spm,[status(thm)],[c_0_657,c_0_658]) ).

cnf(c_0_687,plain,
    ( epred27_0
    | epred9_0
    | f3($false)
    | f3($true) ),
    inference(spm,[status(thm)],[c_0_659,c_0_660]) ).

cnf(c_0_688,plain,
    ( epred24_0
    | epred9_0
    | ~ epred26_0
    | ~ epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_584,c_0_361]),c_0_661]) ).

cnf(c_0_689,plain,
    ( epred22_0
    | epred6_0
    | ~ epred19_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_662,c_0_663]) ).

cnf(c_0_690,plain,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_664,c_0_522]) ).

cnf(c_0_691,plain,
    ( epred18_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_371,c_0_665]) ).

cnf(c_0_692,plain,
    ( epred23_0
    | epred18_0
    | epred5_0
    | ~ epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_633,c_0_511]),c_0_594]) ).

cnf(c_0_693,plain,
    ( epred20_0
    | epred3_0
    | ~ epred22_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_666]),c_0_667]) ).

cnf(c_0_694,plain,
    ( epred3_0
    | ~ epred6_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_668,c_0_666]),c_0_669]) ).

cnf(c_0_695,plain,
    ( epred18_0
    | ~ epred23_0
    | ~ epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_670,c_0_575]),c_0_576]) ).

cnf(c_0_696,plain,
    ( epred23_0
    | epred10_0
    | ~ epred26_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_656,c_0_671]) ).

cnf(c_0_697,plain,
    ( epred22_0
    | epred10_0
    | ~ epred26_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_672,c_0_671]) ).

cnf(c_0_698,plain,
    ( epred26_0
    | epred6_0
    | ~ epred24_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_673,c_0_674]) ).

cnf(c_0_699,plain,
    ( epred26_0
    | epred24_0
    | epred10_0
    | ~ epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_675,c_0_180]),c_0_225]) ).

cnf(c_0_700,plain,
    ( epred6_0
    | ~ epred10_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_673,c_0_676]) ).

cnf(c_0_701,plain,
    ( epred5_0
    | ~ epred10_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_604,c_0_557]) ).

cnf(c_0_702,plain,
    ( epred26_0
    | epred10_0
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_677,c_0_678]),c_0_609]) ).

cnf(c_0_703,plain,
    ( epred22_0
    | epred6_0
    | ~ epred20_0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_679,c_0_680]),c_0_446]) ).

cnf(c_0_704,plain,
    ( epred22_0
    | epred20_0
    | epred6_0
    | ~ epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_570,c_0_223]),c_0_264]) ).

cnf(c_0_705,negated_conjecture,
    ( ~ epred30_0
    | ~ epred14_0
    | ~ epred13_0 ),
    inference(spm,[status(thm)],[c_0_91,c_0_65]) ).

cnf(c_0_706,plain,
    ( epred30_0
    | ~ epred28_0
    | ~ epred29_0 ),
    inference(cn,[status(thm)],[c_0_681]) ).

cnf(c_0_707,plain,
    ( epred29_0
    | ~ epred27_0
    | ~ epred26_0
    | ~ epred27_0
    | ~ epred26_0 ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_708,plain,
    ( ~ epred19_0
    | ~ epred18_0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_682]),c_0_683]) ).

cnf(c_0_709,plain,
    ( epred19_0
    | ~ epred23_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_684,c_0_614]) ).

cnf(c_0_710,plain,
    ( epred23_0
    | epred9_0
    | ~ epred26_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_685,c_0_417]) ).

cnf(c_0_711,plain,
    ( epred27_0
    | epred9_0
    | ~ epred22_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_686,c_0_417]) ).

cnf(c_0_712,plain,
    ( epred26_0
    | epred9_0
    | ~ epred22_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_405,c_0_447]) ).

cnf(c_0_713,plain,
    ( epred27_0
    | epred22_0
    | epred9_0
    | ~ epred24_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_687]),c_0_209]) ).

cnf(c_0_714,plain,
    ( epred24_0
    | epred9_0
    | ~ epred26_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_688,c_0_407]) ).

cnf(c_0_715,plain,
    ( epred22_0
    | epred6_0
    | ~ epred19_0 ),
    inference(spm,[status(thm)],[c_0_689,c_0_607]) ).

cnf(c_0_716,plain,
    ( epred18_0
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_690,c_0_691]) ).

cnf(c_0_717,plain,
    ( epred18_0
    | epred3_0
    | ~ epred22_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_692,c_0_693]),c_0_694]),c_0_695]) ).

cnf(c_0_718,plain,
    ( epred18_0
    | epred10_0
    | ~ epred26_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_695,c_0_696]),c_0_697]) ).

cnf(c_0_719,plain,
    ( ~ epred6_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_690,c_0_619]),c_0_694]) ).

cnf(c_0_720,plain,
    ( epred26_0
    | epred6_0
    | ~ epred22_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_698,c_0_699]),c_0_700]) ).

cnf(c_0_721,plain,
    ( epred26_0
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_701,c_0_702]),c_0_645]) ).

cnf(c_0_722,plain,
    ( epred22_0
    | epred6_0
    | ~ epred18_0
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_703,c_0_704]) ).

cnf(c_0_723,plain,
    ( ~ epred29_0
    | ~ epred28_0
    | ~ epred14_0
    | ~ epred13_0 ),
    inference(spm,[status(thm)],[c_0_705,c_0_706]) ).

cnf(c_0_724,plain,
    ( epred29_0
    | ~ epred26_0
    | ~ epred27_0 ),
    inference(cn,[status(thm)],[c_0_707]) ).

cnf(c_0_725,plain,
    ( epred13_0
    | ~ epred12_0
    | ~ epred11_0
    | ~ epred12_0
    | ~ epred11_0 ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_726,plain,
    ( epred14_0
    | ~ epred12_0
    | ~ epred11_0
    | ~ epred12_0
    | ~ epred11_0 ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_727,plain,
    ( ~ epred19_0
    | ~ epred18_0
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_708,c_0_522]) ).

cnf(c_0_728,plain,
    ( epred19_0
    | epred9_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_709,c_0_710]),c_0_610]) ).

cnf(c_0_729,plain,
    ( epred23_0
    | epred9_0
    | ~ epred22_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_656,c_0_711]),c_0_712]) ).

cnf(c_0_730,plain,
    ( epred22_0
    | epred9_0
    | ~ epred26_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_713,c_0_714]),c_0_672]) ).

cnf(c_0_731,plain,
    ( epred22_0
    | epred18_0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_715,c_0_516]) ).

cnf(c_0_732,plain,
    ( epred18_0
    | ~ epred22_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_716,c_0_717]) ).

cnf(c_0_733,plain,
    ( epred18_0
    | epred6_0
    | ~ epred26_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_700,c_0_718]) ).

cnf(c_0_734,plain,
    ( epred26_0
    | ~ epred22_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_719,c_0_720]),c_0_721]),c_0_645]) ).

cnf(c_0_735,plain,
    ( epred22_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_722,c_0_614]),c_0_516]),c_0_715]) ).

cnf(c_0_736,plain,
    ( epred18_0
    | epred5_0
    | ~ epred26_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_701,c_0_718]) ).

cnf(c_0_737,plain,
    ( epred26_0
    | epred18_0
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_677,c_0_516]) ).

cnf(c_0_738,plain,
    ( ~ epred27_0
    | ~ epred26_0
    | ~ epred14_0
    | ~ epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_723,c_0_724]),c_0_461]) ).

cnf(c_0_739,plain,
    ( epred13_0
    | ~ epred11_0
    | ~ epred12_0 ),
    inference(cn,[status(thm)],[c_0_725]) ).

cnf(c_0_740,plain,
    ( epred14_0
    | ~ epred11_0
    | ~ epred12_0 ),
    inference(cn,[status(thm)],[c_0_726]) ).

cnf(c_0_741,plain,
    ( ~ epred19_0
    | ~ epred18_0
    | ~ epred6_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_727,c_0_694]) ).

cnf(c_0_742,plain,
    ( epred19_0
    | ~ epred6_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_565,c_0_619]),c_0_694]) ).

cnf(c_0_743,plain,
    ( epred22_0
    | epred5_0
    | ~ epred26_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_701,c_0_697]) ).

cnf(c_0_744,plain,
    ( epred22_0
    | epred9_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_715,c_0_728]),c_0_609]) ).

cnf(c_0_745,plain,
    ( epred18_0
    | epred9_0
    | ~ epred22_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_695,c_0_729]) ).

cnf(c_0_746,plain,
    ( epred22_0
    | epred18_0
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_730,c_0_731]),c_0_645]) ).

cnf(c_0_747,plain,
    ( epred18_0
    | ~ epred22_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_732,c_0_733]),c_0_734]) ).

cnf(c_0_748,plain,
    ( epred22_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_719,c_0_735]) ).

cnf(c_0_749,plain,
    ( epred18_0
    | epred5_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_736,c_0_737]) ).

cnf(c_0_750,plain,
    ( ~ epred27_0
    | ~ epred26_0
    | ~ epred12_0
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_738,c_0_739]),c_0_740]) ).

cnf(c_0_751,plain,
    ( epred23_0
    | epred3_0
    | ~ epred21_0
    | ~ epred6_0
    | ~ f5($true) ),
    inference(spm,[status(thm)],[c_0_220,c_0_631]) ).

cnf(c_0_752,plain,
    ( ~ epred18_0
    | ~ epred6_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_741,c_0_742]) ).

cnf(c_0_753,plain,
    ( epred22_0
    | epred6_0
    | ~ epred26_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_700,c_0_697]) ).

cnf(c_0_754,plain,
    ( epred22_0
    | epred5_0
    | ~ epred18_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_643,c_0_404]),c_0_743]) ).

cnf(c_0_755,plain,
    ( epred18_0
    | epred5_0
    | ~ epred22_0 ),
    inference(spm,[status(thm)],[c_0_732,c_0_609]) ).

cnf(c_0_756,plain,
    ( epred22_0
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_730,c_0_744]),c_0_645]) ).

cnf(c_0_757,plain,
    ( epred18_0
    | epred9_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_745,c_0_746]) ).

cnf(c_0_758,plain,
    ( epred18_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_747,c_0_748]),c_0_749]) ).

cnf(c_0_759,plain,
    ( ~ epred27_0
    | ~ epred26_0
    | ~ epred11_0
    | ~ epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_750,c_0_207]),c_0_297]) ).

cnf(c_0_760,plain,
    ( epred23_0
    | epred3_0
    | ~ epred21_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_666]),c_0_751]) ).

cnf(c_0_761,plain,
    ( epred22_0
    | ~ epred26_0
    | ~ epred18_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_752,c_0_753]),c_0_754]) ).

cnf(c_0_762,plain,
    epred18_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_755,c_0_756]),c_0_757]),c_0_758]) ).

cnf(c_0_763,plain,
    ( ~ epred27_0
    | ~ epred26_0
    | ~ epred10_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_759,c_0_598]) ).

cnf(c_0_764,plain,
    ( epred26_0
    | ~ epred23_0
    | ~ epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_256]),c_0_257]) ).

cnf(c_0_765,plain,
    ( ~ epred19_0
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_690,c_0_607]) ).

cnf(c_0_766,plain,
    ( epred23_0
    | epred3_0
    | ~ epred19_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_760,c_0_559]),c_0_694]) ).

cnf(c_0_767,plain,
    ( epred22_0
    | ~ epred26_0 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_761,c_0_762])]),c_0_756]) ).

cnf(c_0_768,plain,
    ( ~ epred23_0
    | ~ epred22_0
    | ~ epred10_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_763,c_0_301]),c_0_764]) ).

cnf(c_0_769,plain,
    ( epred23_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_765,c_0_766]),c_0_647]) ).

cnf(c_0_770,plain,
    ( epred23_0
    | ~ f5($false)
    | ~ f5($true)
    | ~ f4($true) ),
    inference(split_conjunct,[status(thm)],[c_0_176]) ).

cnf(c_0_771,plain,
    ( f4($true)
    | epred5_0
    | ~ f5($false)
    | ~ f5($true) ),
    inference(split_conjunct,[status(thm)],[c_0_313]) ).

cnf(c_0_772,plain,
    epred22_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_767,c_0_721]),c_0_748]) ).

cnf(c_0_773,plain,
    ( ~ epred22_0
    | ~ epred10_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_768,c_0_769]),c_0_700]) ).

cnf(c_0_774,plain,
    ( epred23_0
    | epred5_0
    | ~ f5($true)
    | ~ f5($false) ),
    inference(spm,[status(thm)],[c_0_770,c_0_771]) ).

cnf(c_0_775,plain,
    ( epred21_0
    | epred5_0
    | ~ epred22_0
    | ~ epred3_0
    | ~ f5($false) ),
    inference(spm,[status(thm)],[c_0_420,c_0_374]) ).

cnf(c_0_776,plain,
    ( epred16_0
    | ~ f7($true)
    | ~ f6($true)
    | ~ epred18_0 ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_777,plain,
    ( epred16_0
    | f7($true)
    | ~ f6($false)
    | ~ epred18_0 ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_778,plain,
    epred26_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_734,c_0_772])]) ).

cnf(c_0_779,plain,
    ( ~ epred10_0
    | ~ epred9_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_773,c_0_772])]) ).

cnf(c_0_780,plain,
    ( epred23_0
    | epred19_0
    | epred5_0
    | ~ epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_774,c_0_491]),c_0_531]) ).

cnf(c_0_781,plain,
    ( epred21_0
    | epred5_0
    | ~ epred22_0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_414]),c_0_775]) ).

cnf(c_0_782,plain,
    ( epred16_0
    | ~ epred18_0
    | ~ f6($true)
    | ~ f6($false) ),
    inference(spm,[status(thm)],[c_0_776,c_0_777]) ).

cnf(c_0_783,plain,
    ( epred16_0
    | f6($false)
    | ~ epred19_0
    | ~ epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_776,c_0_342]),c_0_395]) ).

cnf(c_0_784,plain,
    ( epred23_0
    | ~ epred27_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_656,c_0_778])]) ).

cnf(c_0_785,plain,
    ( epred27_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_671,c_0_778])]),c_0_779]) ).

cnf(c_0_786,plain,
    ( epred19_0
    | epred5_0
    | ~ epred22_0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_780,c_0_781]),c_0_620]) ).

cnf(c_0_787,plain,
    ( epred16_0
    | ~ epred19_0
    | ~ epred18_0
    | ~ f6($true) ),
    inference(spm,[status(thm)],[c_0_782,c_0_783]) ).

cnf(c_0_788,plain,
    ( epred23_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_784,c_0_785]) ).

cnf(c_0_789,plain,
    ( epred19_0
    | epred5_0
    | ~ epred22_0 ),
    inference(spm,[status(thm)],[c_0_786,c_0_614]) ).

cnf(c_0_790,plain,
    ( epred16_0
    | ~ epred19_0
    | ~ epred18_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_777]),c_0_783]),c_0_787]) ).

cnf(c_0_791,plain,
    ( epred19_0
    | ~ epred23_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_620,c_0_772])]) ).

cnf(c_0_792,plain,
    ( epred23_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_729,c_0_772])]),c_0_788]) ).

cnf(c_0_793,plain,
    ( epred19_0
    | epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_789,c_0_772])]) ).

cnf(c_0_794,plain,
    ( epred16_0
    | ~ epred19_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_790,c_0_762])]) ).

cnf(c_0_795,plain,
    epred19_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_791,c_0_792]),c_0_793]) ).

cnf(c_0_796,plain,
    ( epred17_0
    | ~ f7($false)
    | ~ f6($true)
    | ~ epred18_0 ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_797,plain,
    ( epred17_0
    | ~ epred18_0
    | ~ epred2_0
    | ~ x ),
    inference(spm,[status(thm)],[c_0_232,c_0_289]) ).

cnf(c_0_798,plain,
    epred16_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_794,c_0_795])]) ).

cnf(c_0_799,plain,
    ( epred17_0
    | ~ epred18_0
    | ~ f6($true)
    | ~ f6($false) ),
    inference(spm,[status(thm)],[c_0_796,c_0_186]) ).

cnf(c_0_800,plain,
    ( epred17_0
    | f6($true)
    | ~ epred18_0
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_186]),c_0_238]),c_0_797]) ).

cnf(c_0_801,plain,
    epred2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_560,c_0_795])]) ).

cnf(c_0_802,plain,
    ~ epred17_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_512,c_0_798])]) ).

cnf(c_0_803,plain,
    ( epred17_0
    | f6($false)
    | ~ epred19_0
    | ~ epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_796,c_0_282]),c_0_651]) ).

cnf(c_0_804,plain,
    ( epred17_0
    | ~ f6($true)
    | ~ f6($false) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_799,c_0_762])]) ).

cnf(c_0_805,plain,
    f6($true),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_800,c_0_762])]),c_0_801])]),c_0_802]) ).

cnf(c_0_806,plain,
    ( epred17_0
    | f6($false)
    | ~ epred19_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_803,c_0_762])]) ).

cnf(c_0_807,plain,
    ~ f6($false),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_804,c_0_805])]),c_0_802]) ).

cnf(c_0_808,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_806,c_0_795])]),c_0_802]),c_0_807]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYO500_8.008 : TPTP v8.2.0. Released v8.0.0.
% 0.13/0.14  % Command    : run_E %s %d THM
% 0.13/0.36  % Computer : n008.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Mon May 20 10:34:38 EDT 2024
% 0.13/0.36  % CPUTime    : 
% 0.21/0.47  Running first-order model finding
% 0.21/0.47  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.10/1.63  # Version: 3.1.0
% 7.10/1.63  # Preprocessing class: FSMSSMSSSSSNFFN.
% 7.10/1.63  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.10/1.63  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.10/1.63  # Starting new_bool_3 with 300s (1) cores
% 7.10/1.63  # Starting new_bool_1 with 300s (1) cores
% 7.10/1.63  # Starting sh5l with 300s (1) cores
% 7.10/1.63  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 11311 completed with status 0
% 7.10/1.63  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 7.10/1.63  # Preprocessing class: FSMSSMSSSSSNFFN.
% 7.10/1.63  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.10/1.63  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.10/1.63  # No SInE strategy applied
% 7.10/1.63  # Search class: FGHNF-FSLM00-SFFFFFNN
% 7.10/1.63  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 7.10/1.63  # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 675s (1) cores
% 7.10/1.63  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 7.10/1.63  # Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 136s (1) cores
% 7.10/1.63  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 136s (1) cores
% 7.10/1.63  # Starting G-E--_107_C12_02_nc_F1_PI_AE_Q4_CS_SP_PS_S071I with 136s (1) cores
% 7.10/1.63  # G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with pid 11320 completed with status 0
% 7.10/1.63  # Result found by G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y
% 7.10/1.63  # Preprocessing class: FSMSSMSSSSSNFFN.
% 7.10/1.63  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.10/1.63  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.10/1.63  # No SInE strategy applied
% 7.10/1.63  # Search class: FGHNF-FSLM00-SFFFFFNN
% 7.10/1.63  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 7.10/1.63  # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 675s (1) cores
% 7.10/1.63  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 7.10/1.63  # Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 136s (1) cores
% 7.10/1.63  # Preprocessing time       : 0.006 s
% 7.10/1.63  # Presaturation interreduction done
% 7.10/1.63  
% 7.10/1.63  # Proof found!
% 7.10/1.63  # SZS status Theorem
% 7.10/1.63  # SZS output start CNFRefutation
% See solution above
% 7.73/1.66  # Parsed axioms                        : 10
% 7.73/1.66  # Removed by relevancy pruning/SinE    : 0
% 7.73/1.66  # Initial clauses                      : 881
% 7.73/1.66  # Removed in clause preprocessing      : 308
% 7.73/1.66  # Initial clauses in saturation        : 573
% 7.73/1.66  # Processed clauses                    : 4193
% 7.73/1.66  # ...of these trivial                  : 62
% 7.73/1.66  # ...subsumed                          : 2414
% 7.73/1.66  # ...remaining for further processing  : 1716
% 7.73/1.66  # Other redundant clauses eliminated   : 0
% 7.73/1.66  # Clauses deleted for lack of memory   : 0
% 7.73/1.66  # Backward-subsumed                    : 872
% 7.73/1.66  # Backward-rewritten                   : 453
% 7.73/1.66  # Generated clauses                    : 9242
% 7.73/1.66  # ...of the previous two non-redundant : 4708
% 7.73/1.67  # ...aggressively subsumed             : 0
% 7.73/1.67  # Contextual simplify-reflections      : 599
% 7.73/1.67  # Paramodulations                      : 9234
% 7.73/1.67  # Factorizations                       : 0
% 7.73/1.67  # NegExts                              : 0
% 7.73/1.67  # Equation resolutions                 : 0
% 7.73/1.67  # Disequality decompositions           : 0
% 7.73/1.67  # Total rewrite steps                  : 540
% 7.73/1.67  # ...of those cached                   : 523
% 7.73/1.67  # Propositional unsat checks           : 0
% 7.73/1.67  #    Propositional check models        : 0
% 7.73/1.67  #    Propositional check unsatisfiable : 0
% 7.73/1.67  #    Propositional clauses             : 0
% 7.73/1.67  #    Propositional clauses after purity: 0
% 7.73/1.67  #    Propositional unsat core size     : 0
% 7.73/1.67  #    Propositional preprocessing time  : 0.000
% 7.73/1.67  #    Propositional encoding time       : 0.000
% 7.73/1.67  #    Propositional solver time         : 0.000
% 7.73/1.67  #    Success case prop preproc time    : 0.000
% 7.73/1.67  #    Success case prop encoding time   : 0.000
% 7.73/1.67  #    Success case prop solver time     : 0.000
% 7.73/1.67  # Current number of processed clauses  : 110
% 7.73/1.67  #    Positive orientable unit clauses  : 17
% 7.73/1.67  #    Positive unorientable unit clauses: 0
% 7.73/1.67  #    Negative unit clauses             : 7
% 7.73/1.67  #    Non-unit-clauses                  : 86
% 7.73/1.67  # Current number of unprocessed clauses: 631
% 7.73/1.67  # ...number of literals in the above   : 3601
% 7.73/1.67  # Current number of archived formulas  : 0
% 7.73/1.67  # Current number of archived clauses   : 1606
% 7.73/1.67  # Clause-clause subsumption calls (NU) : 574790
% 7.73/1.67  # Rec. Clause-clause subsumption calls : 111249
% 7.73/1.67  # Non-unit clause-clause subsumptions  : 3812
% 7.73/1.67  # Unit Clause-clause subsumption calls : 3997
% 7.73/1.67  # Rewrite failures with RHS unbound    : 0
% 7.73/1.67  # BW rewrite match attempts            : 17
% 7.73/1.67  # BW rewrite match successes           : 17
% 7.73/1.67  # Condensation attempts                : 0
% 7.73/1.67  # Condensation successes               : 0
% 7.73/1.67  # Termbank termtop insertions          : 1811761
% 7.73/1.67  # Search garbage collected termcells   : 5032
% 7.73/1.67  
% 7.73/1.67  # -------------------------------------------------
% 7.73/1.67  # User time                : 1.054 s
% 7.73/1.67  # System time              : 0.048 s
% 7.73/1.67  # Total time               : 1.102 s
% 7.73/1.67  # Maximum resident set size: 11208 pages
% 7.73/1.67  
% 7.73/1.67  # -------------------------------------------------
% 7.73/1.67  # User time                : 3.908 s
% 7.73/1.67  # System time              : 0.094 s
% 7.73/1.67  # Total time               : 4.002 s
% 7.73/1.67  # Maximum resident set size: 8332 pages
% 7.73/1.67  % E---3.1 exiting
%------------------------------------------------------------------------------